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Finding the Fourth Proportional to 315,730.68, 435,706.74 and 172,498.92

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Solution

The fourth proportional to 315,730.68, 435,706.74 and 172,498.92 is: 238,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,730.68 : 435,706.74 = 172,498.92 : x
  2. Step 2: Convert to fraction form
    315,730.68/435,706.74 = 172,498.92/x
  3. Step 3: Cross multiply
    315,730.68x = 435,706.74 × 172,498.92
  4. Step 4: Simplify right side
    315,730.68x = 75,158,942,086.72
  5. Step 5: Solve for x
    x = 75,158,942,086.72/315,730.68
  6. Step 6: Final answer
    x = 238,047.64

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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.