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Finding the Fourth Proportional to 586,436.68, 809,214.42 and 328,328.20

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Solution

The fourth proportional to 586,436.68, 809,214.42 and 328,328.20 is: 453,054.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,436.68 : 809,214.42 = 328,328.20 : x
  2. Step 2: Convert to fraction form
    586,436.68/809,214.42 = 328,328.20/x
  3. Step 3: Cross multiply
    586,436.68x = 809,214.42 × 328,328.20
  4. Step 4: Simplify right side
    586,436.68x = 265,687,913,932.64
  5. Step 5: Solve for x
    x = 265,687,913,932.64/586,436.68
  6. Step 6: Final answer
    x = 453,054.73

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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.