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Finding the Fourth Proportional to 399,347.71, 598,504.51 and 162,415.15

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Solution

The fourth proportional to 399,347.71, 598,504.51 and 162,415.15 is: 243,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,347.71 : 598,504.51 = 162,415.15 : x
  2. Step 2: Convert to fraction form
    399,347.71/598,504.51 = 162,415.15/x
  3. Step 3: Cross multiply
    399,347.71x = 598,504.51 × 162,415.15
  4. Step 4: Simplify right side
    399,347.71x = 97,206,195,962.73
  5. Step 5: Solve for x
    x = 97,206,195,962.73/399,347.71
  6. Step 6: Final answer
    x = 243,412.43

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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.