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Finding the Fourth Proportional to 586,434.35, 809,376.18 and 402,521.78

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Solution

The fourth proportional to 586,434.35, 809,376.18 and 402,521.78 is: 555,546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,434.35 : 809,376.18 = 402,521.78 : x
  2. Step 2: Convert to fraction form
    586,434.35/809,376.18 = 402,521.78/x
  3. Step 3: Cross multiply
    586,434.35x = 809,376.18 × 402,521.78
  4. Step 4: Simplify right side
    586,434.35x = 325,791,536,616.32
  5. Step 5: Solve for x
    x = 325,791,536,616.32/586,434.35
  6. Step 6: Final answer
    x = 555,546.48

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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.