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Finding the Fourth Proportional to 509,307,639.20, 763,961,458.80 and 509,307,639.20

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Solution

The fourth proportional to 509,307,639.20, 763,961,458.80 and 509,307,639.20 is: 763,961,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,307,639.20 : 763,961,458.80 = 509,307,639.20 : x
  2. Step 2: Convert to fraction form
    509,307,639.20/763,961,458.80 = 509,307,639.20/x
  3. Step 3: Cross multiply
    509,307,639.20x = 763,961,458.80 × 509,307,639.20
  4. Step 4: Simplify right side
    509,307,639.20x = 389,091,407,021,216,000
  5. Step 5: Solve for x
    x = 389,091,407,021,216,000/509,307,639.20
  6. Step 6: Final answer
    x = 763,961,458.80

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1.5x scale

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.