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Finding the Fourth Proportional to 398,830.71, 598,359.11 and 162,343.11

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Solution

The fourth proportional to 398,830.71, 598,359.11 and 162,343.11 is: 243,560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,830.71 : 598,359.11 = 162,343.11 : x
  2. Step 2: Convert to fraction form
    398,830.71/598,359.11 = 162,343.11/x
  3. Step 3: Cross multiply
    398,830.71x = 598,359.11 × 162,343.11
  4. Step 4: Simplify right side
    398,830.71x = 97,139,478,814.23
  5. Step 5: Solve for x
    x = 97,139,478,814.23/398,830.71
  6. Step 6: Final answer
    x = 243,560.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.