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Finding the Fourth Proportional to 589,708.94, 813,155.22 and 398,390.14

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Solution

The fourth proportional to 589,708.94, 813,155.22 and 398,390.14 is: 549,343.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,708.94 : 813,155.22 = 398,390.14 : x
  2. Step 2: Convert to fraction form
    589,708.94/813,155.22 = 398,390.14/x
  3. Step 3: Cross multiply
    589,708.94x = 813,155.22 × 398,390.14
  4. Step 4: Simplify right side
    589,708.94x = 323,953,021,937.53
  5. Step 5: Solve for x
    x = 323,953,021,937.53/589,708.94
  6. Step 6: Final answer
    x = 549,343.92

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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.