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Finding the Fourth Proportional to 557,565.12, 836,402.40 and 320,448.96

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Solution

The fourth proportional to 557,565.12, 836,402.40 and 320,448.96 is: 480,704.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,565.12 : 836,402.40 = 320,448.96 : x
  2. Step 2: Convert to fraction form
    557,565.12/836,402.40 = 320,448.96/x
  3. Step 3: Cross multiply
    557,565.12x = 836,402.40 × 320,448.96
  4. Step 4: Simplify right side
    557,565.12x = 268,024,279,221.50
  5. Step 5: Solve for x
    x = 268,024,279,221.50/557,565.12
  6. Step 6: Final answer
    x = 480,704.89

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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.