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Finding the Fourth Proportional to 385,420.61, 578,089.33 and 101,139.77

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Solution

The fourth proportional to 385,420.61, 578,089.33 and 101,139.77 is: 151,698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,420.61 : 578,089.33 = 101,139.77 : x
  2. Step 2: Convert to fraction form
    385,420.61/578,089.33 = 101,139.77/x
  3. Step 3: Cross multiply
    385,420.61x = 578,089.33 × 101,139.77
  4. Step 4: Simplify right side
    385,420.61x = 58,467,823,068.03
  5. Step 5: Solve for x
    x = 58,467,823,068.03/385,420.61
  6. Step 6: Final answer
    x = 151,698.74

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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.