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Finding the Fourth Proportional to 586,633.46, 809,565.66 and 382,814.78

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Solution

The fourth proportional to 586,633.46, 809,565.66 and 382,814.78 is: 528,291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,633.46 : 809,565.66 = 382,814.78 : x
  2. Step 2: Convert to fraction form
    586,633.46/809,565.66 = 382,814.78/x
  3. Step 3: Cross multiply
    586,633.46x = 809,565.66 × 382,814.78
  4. Step 4: Simplify right side
    586,633.46x = 309,913,695,980.63
  5. Step 5: Solve for x
    x = 309,913,695,980.63/586,633.46
  6. Step 6: Final answer
    x = 528,291.89

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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.