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Finding the Fourth Proportional to 315,730.18, 435,706.05 and 172,498.42

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Solution

The fourth proportional to 315,730.18, 435,706.05 and 172,498.42 is: 238,046.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,730.18 : 435,706.05 = 172,498.42 : x
  2. Step 2: Convert to fraction form
    315,730.18/435,706.05 = 172,498.42/x
  3. Step 3: Cross multiply
    315,730.18x = 435,706.05 × 172,498.42
  4. Step 4: Simplify right side
    315,730.18x = 75,158,605,209.44
  5. Step 5: Solve for x
    x = 75,158,605,209.44/315,730.18
  6. Step 6: Final answer
    x = 238,046.95

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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.