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Finding the Fourth Proportional to 530,143.92, 730,590.84 and 378,978.48

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Solution

The fourth proportional to 530,143.92, 730,590.84 and 378,978.48 is: 522,269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,143.92 : 730,590.84 = 378,978.48 : x
  2. Step 2: Convert to fraction form
    530,143.92/730,590.84 = 378,978.48/x
  3. Step 3: Cross multiply
    530,143.92x = 730,590.84 × 378,978.48
  4. Step 4: Simplify right side
    530,143.92x = 276,878,206,045.12
  5. Step 5: Solve for x
    x = 276,878,206,045.12/530,143.92
  6. Step 6: Final answer
    x = 522,269.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.