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Finding the Fourth Proportional to 612,590.80, 845,251.42 and 357,892.78

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Solution

The fourth proportional to 612,590.80, 845,251.42 and 357,892.78 is: 493,819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,590.80 : 845,251.42 = 357,892.78 : x
  2. Step 2: Convert to fraction form
    612,590.80/845,251.42 = 357,892.78/x
  3. Step 3: Cross multiply
    612,590.80x = 845,251.42 × 357,892.78
  4. Step 4: Simplify right side
    612,590.80x = 302,509,374,487.03
  5. Step 5: Solve for x
    x = 302,509,374,487.03/612,590.80
  6. Step 6: Final answer
    x = 493,819.65

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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.