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Finding the Fourth Proportional to 1,024,978,778.78, 1,539,920,925.15 and 657,234,225.77

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Solution

The fourth proportional to 1,024,978,778.78, 1,539,920,925.15 and 657,234,225.77 is: 987,424,089.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,978,778.78 : 1,539,920,925.15 = 657,234,225.77 : x
  2. Step 2: Convert to fraction form
    1,024,978,778.78/1,539,920,925.15 = 657,234,225.77/x
  3. Step 3: Cross multiply
    1,024,978,778.78x = 1,539,920,925.15 × 657,234,225.77
  4. Step 4: Simplify right side
    1,024,978,778.78x = 1,012,088,736,977,851,008
  5. Step 5: Solve for x
    x = 1,012,088,736,977,851,008/1,024,978,778.78
  6. Step 6: Final answer
    x = 987,424,089.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.