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Finding the Fourth Proportional to 315,597.69, 473,406.26 and 138,013.29

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Solution

The fourth proportional to 315,597.69, 473,406.26 and 138,013.29 is: 207,024.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,597.69 : 473,406.26 = 138,013.29 : x
  2. Step 2: Convert to fraction form
    315,597.69/473,406.26 = 138,013.29/x
  3. Step 3: Cross multiply
    315,597.69x = 473,406.26 × 138,013.29
  4. Step 4: Simplify right side
    315,597.69x = 65,336,354,759.13
  5. Step 5: Solve for x
    x = 65,336,354,759.13/315,597.69
  6. Step 6: Final answer
    x = 207,024.19

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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.