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Finding the Fourth Proportional to 315,298.80, 435,113.55 and 172,062

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Solution

The fourth proportional to 315,298.80, 435,113.55 and 172,062 is: 237,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,298.80 : 435,113.55 = 172,062 : x
  2. Step 2: Convert to fraction form
    315,298.80/435,113.55 = 172,062/x
  3. Step 3: Cross multiply
    315,298.80x = 435,113.55 × 172,062
  4. Step 4: Simplify right side
    315,298.80x = 74,866,507,640.10
  5. Step 5: Solve for x
    x = 74,866,507,640.10/315,298.80
  6. Step 6: Final answer
    x = 237,446.22

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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.