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Finding the Fourth Proportional to 514,915.30, 772,360.80 and 140,938.30

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Solution

The fourth proportional to 514,915.30, 772,360.80 and 140,938.30 is: 211,404.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,915.30 : 772,360.80 = 140,938.30 : x
  2. Step 2: Convert to fraction form
    514,915.30/772,360.80 = 140,938.30/x
  3. Step 3: Cross multiply
    514,915.30x = 772,360.80 × 140,938.30
  4. Step 4: Simplify right side
    514,915.30x = 108,855,218,138.64
  5. Step 5: Solve for x
    x = 108,855,218,138.64/514,915.30
  6. Step 6: Final answer
    x = 211,404.12

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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.