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Finding the Fourth Proportional to 458,810.10, 688,312.35 and 138,935.70

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Solution

The fourth proportional to 458,810.10, 688,312.35 and 138,935.70 is: 208,432.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,810.10 : 688,312.35 = 138,935.70 : x
  2. Step 2: Convert to fraction form
    458,810.10/688,312.35 = 138,935.70/x
  3. Step 3: Cross multiply
    458,810.10x = 688,312.35 × 138,935.70
  4. Step 4: Simplify right side
    458,810.10x = 95,631,158,165.90
  5. Step 5: Solve for x
    x = 95,631,158,165.90/458,810.10
  6. Step 6: Final answer
    x = 208,432.98

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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.