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Finding the Fourth Proportional to 497,233.80, 745,850.70 and 142,259.40

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Solution

The fourth proportional to 497,233.80, 745,850.70 and 142,259.40 is: 213,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,233.80 : 745,850.70 = 142,259.40 : x
  2. Step 2: Convert to fraction form
    497,233.80/745,850.70 = 142,259.40/x
  3. Step 3: Cross multiply
    497,233.80x = 745,850.70 × 142,259.40
  4. Step 4: Simplify right side
    497,233.80x = 106,104,273,071.58
  5. Step 5: Solve for x
    x = 106,104,273,071.58/497,233.80
  6. Step 6: Final answer
    x = 213,389.10

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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.