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Finding the Fourth Proportional to 315,752.46, 435,715.65 and 172,482.09

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Solution

The fourth proportional to 315,752.46, 435,715.65 and 172,482.09 is: 238,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,752.46 : 435,715.65 = 172,482.09 : x
  2. Step 2: Convert to fraction form
    315,752.46/435,715.65 = 172,482.09/x
  3. Step 3: Cross multiply
    315,752.46x = 435,715.65 × 172,482.09
  4. Step 4: Simplify right side
    315,752.46x = 75,153,145,957.71
  5. Step 5: Solve for x
    x = 75,153,145,957.71/315,752.46
  6. Step 6: Final answer
    x = 238,012.86

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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.