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Finding the Fourth Proportional to 315,293.30, 435,114 and 172,062.58

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Solution

The fourth proportional to 315,293.30, 435,114 and 172,062.58 is: 237,451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,293.30 : 435,114 = 172,062.58 : x
  2. Step 2: Convert to fraction form
    315,293.30/435,114 = 172,062.58/x
  3. Step 3: Cross multiply
    315,293.30x = 435,114 × 172,062.58
  4. Step 4: Simplify right side
    315,293.30x = 74,866,837,434.12
  5. Step 5: Solve for x
    x = 74,866,837,434.12/315,293.30
  6. Step 6: Final answer
    x = 237,451.41

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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.