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Finding the Fourth Proportional to 586,433.35, 809,374.80 and 402,520.78

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Solution

The fourth proportional to 586,433.35, 809,374.80 and 402,520.78 is: 555,545.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,433.35 : 809,374.80 = 402,520.78 : x
  2. Step 2: Convert to fraction form
    586,433.35/809,374.80 = 402,520.78/x
  3. Step 3: Cross multiply
    586,433.35x = 809,374.80 × 402,520.78
  4. Step 4: Simplify right side
    586,433.35x = 325,790,169,748.87
  5. Step 5: Solve for x
    x = 325,790,169,748.87/586,433.35
  6. Step 6: Final answer
    x = 555,545.10

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1.5x scale

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.