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Finding the Fourth Proportional to 398,827.71, 598,354.61 and 162,340.11

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Solution

The fourth proportional to 398,827.71, 598,354.61 and 162,340.11 is: 243,556.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,827.71 : 598,354.61 = 162,340.11 : x
  2. Step 2: Convert to fraction form
    398,827.71/598,354.61 = 162,340.11/x
  3. Step 3: Cross multiply
    398,827.71x = 598,354.61 × 162,340.11
  4. Step 4: Simplify right side
    398,827.71x = 97,136,952,394.71
  5. Step 5: Solve for x
    x = 97,136,952,394.71/398,827.71
  6. Step 6: Final answer
    x = 243,556.18

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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.