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Finding the Fourth Proportional to 586,433.28, 809,644.32 and 402,987.72

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Solution

The fourth proportional to 586,433.28, 809,644.32 and 402,987.72 is: 556,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,433.28 : 809,644.32 = 402,987.72 : x
  2. Step 2: Convert to fraction form
    586,433.28/809,644.32 = 402,987.72/x
  3. Step 3: Cross multiply
    586,433.28x = 809,644.32 × 402,987.72
  4. Step 4: Simplify right side
    586,433.28x = 326,276,718,527.75
  5. Step 5: Solve for x
    x = 326,276,718,527.75/586,433.28
  6. Step 6: Final answer
    x = 556,374.83

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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.