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Finding the Fourth Proportional to 385,256.96, 577,102.08 and 314,432

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Solution

The fourth proportional to 385,256.96, 577,102.08 and 314,432 is: 471,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,256.96 : 577,102.08 = 314,432 : x
  2. Step 2: Convert to fraction form
    385,256.96/577,102.08 = 314,432/x
  3. Step 3: Cross multiply
    385,256.96x = 577,102.08 × 314,432
  4. Step 4: Simplify right side
    385,256.96x = 181,459,361,218.56
  5. Step 5: Solve for x
    x = 181,459,361,218.56/385,256.96
  6. Step 6: Final answer
    x = 471,008.65

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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.