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Finding the Fourth Proportional to 589,706.69, 813,152.13 and 398,387.89

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Solution

The fourth proportional to 589,706.69, 813,152.13 and 398,387.89 is: 549,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,706.69 : 813,152.13 = 398,387.89 : x
  2. Step 2: Convert to fraction form
    589,706.69/813,152.13 = 398,387.89/x
  3. Step 3: Cross multiply
    589,706.69x = 813,152.13 × 398,387.89
  4. Step 4: Simplify right side
    589,706.69x = 323,949,959,327.77
  5. Step 5: Solve for x
    x = 323,949,959,327.77/589,706.69
  6. Step 6: Final answer
    x = 549,340.82

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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.