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Finding the Fourth Proportional to 310,915.17, 466,320.57 and 86,298.42

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Solution

The fourth proportional to 310,915.17, 466,320.57 and 86,298.42 is: 129,433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,915.17 : 466,320.57 = 86,298.42 : x
  2. Step 2: Convert to fraction form
    310,915.17/466,320.57 = 86,298.42/x
  3. Step 3: Cross multiply
    310,915.17x = 466,320.57 × 86,298.42
  4. Step 4: Simplify right side
    310,915.17x = 40,242,728,404.50
  5. Step 5: Solve for x
    x = 40,242,728,404.50/310,915.17
  6. Step 6: Final answer
    x = 129,433.15

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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.