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Finding the Fourth Proportional to 315,752.96, 435,716.34 and 172,482.59

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Solution

The fourth proportional to 315,752.96, 435,716.34 and 172,482.59 is: 238,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,752.96 : 435,716.34 = 172,482.59 : x
  2. Step 2: Convert to fraction form
    315,752.96/435,716.34 = 172,482.59/x
  3. Step 3: Cross multiply
    315,752.96x = 435,716.34 × 172,482.59
  4. Step 4: Simplify right side
    315,752.96x = 75,153,482,828.52
  5. Step 5: Solve for x
    x = 75,153,482,828.52/315,752.96
  6. Step 6: Final answer
    x = 238,013.55

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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.