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Finding the Fourth Proportional to 497,951, 746,960.52 and 142,937.72

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Solution

The fourth proportional to 497,951, 746,960.52 and 142,937.72 is: 214,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,951 : 746,960.52 = 142,937.72 : x
  2. Step 2: Convert to fraction form
    497,951/746,960.52 = 142,937.72/x
  3. Step 3: Cross multiply
    497,951x = 746,960.52 × 142,937.72
  4. Step 4: Simplify right side
    497,951x = 106,768,833,658.81
  5. Step 5: Solve for x
    x = 106,768,833,658.81/497,951
  6. Step 6: Final answer
    x = 214,416.35

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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.