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Finding the Fourth Proportional to 497,244.61, 745,874.21 and 142,259.28

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Solution

The fourth proportional to 497,244.61, 745,874.21 and 142,259.28 is: 213,391.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,244.61 : 745,874.21 = 142,259.28 : x
  2. Step 2: Convert to fraction form
    497,244.61/745,874.21 = 142,259.28/x
  3. Step 3: Cross multiply
    497,244.61x = 745,874.21 × 142,259.28
  4. Step 4: Simplify right side
    497,244.61x = 106,107,528,085.17
  5. Step 5: Solve for x
    x = 106,107,528,085.17/497,244.61
  6. Step 6: Final answer
    x = 213,391.01

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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.