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Finding the Fourth Proportional to 315,582.31, 435,500.65 and 172,341.91

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Solution

The fourth proportional to 315,582.31, 435,500.65 and 172,341.91 is: 237,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,582.31 : 435,500.65 = 172,341.91 : x
  2. Step 2: Convert to fraction form
    315,582.31/435,500.65 = 172,341.91/x
  3. Step 3: Cross multiply
    315,582.31x = 435,500.65 × 172,341.91
  4. Step 4: Simplify right side
    315,582.31x = 75,055,013,827.24
  5. Step 5: Solve for x
    x = 75,055,013,827.24/315,582.31
  6. Step 6: Final answer
    x = 237,830.23

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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.