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Finding the Fourth Proportional to 337,510.40, 506,266.09 and 137,830.78

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Solution

The fourth proportional to 337,510.40, 506,266.09 and 137,830.78 is: 206,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,510.40 : 506,266.09 = 137,830.78 : x
  2. Step 2: Convert to fraction form
    337,510.40/506,266.09 = 137,830.78/x
  3. Step 3: Cross multiply
    337,510.40x = 506,266.09 × 137,830.78
  4. Step 4: Simplify right side
    337,510.40x = 69,779,051,962.13
  5. Step 5: Solve for x
    x = 69,779,051,962.13/337,510.40
  6. Step 6: Final answer
    x = 206,746.38

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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.