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Finding the Fourth Proportional to 315,269.39, 435,068.12 and 172,031.82

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Solution

The fourth proportional to 315,269.39, 435,068.12 and 172,031.82 is: 237,401.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,269.39 : 435,068.12 = 172,031.82 : x
  2. Step 2: Convert to fraction form
    315,269.39/435,068.12 = 172,031.82/x
  3. Step 3: Cross multiply
    315,269.39x = 435,068.12 × 172,031.82
  4. Step 4: Simplify right side
    315,269.39x = 74,845,559,647.42
  5. Step 5: Solve for x
    x = 74,845,559,647.42/315,269.39
  6. Step 6: Final answer
    x = 237,401.93

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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.