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Finding the Fourth Proportional to 385,513.74, 532,335.54 and 242,319.90

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Solution

The fourth proportional to 385,513.74, 532,335.54 and 242,319.90 is: 334,606.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,513.74 : 532,335.54 = 242,319.90 : x
  2. Step 2: Convert to fraction form
    385,513.74/532,335.54 = 242,319.90/x
  3. Step 3: Cross multiply
    385,513.74x = 532,335.54 × 242,319.90
  4. Step 4: Simplify right side
    385,513.74x = 128,995,494,819.25
  5. Step 5: Solve for x
    x = 128,995,494,819.25/385,513.74
  6. Step 6: Final answer
    x = 334,606.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.