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Finding the Fourth Proportional to 400,842.68, 553,162.77 and 219,565.89

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Solution

The fourth proportional to 400,842.68, 553,162.77 and 219,565.89 is: 303,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,842.68 : 553,162.77 = 219,565.89 : x
  2. Step 2: Convert to fraction form
    400,842.68/553,162.77 = 219,565.89/x
  3. Step 3: Cross multiply
    400,842.68x = 553,162.77 × 219,565.89
  4. Step 4: Simplify right side
    400,842.68x = 121,455,675,909.92
  5. Step 5: Solve for x
    x = 121,455,675,909.92/400,842.68
  6. Step 6: Final answer
    x = 303,000.86

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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.