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Finding the Fourth Proportional to 315,289.65, 435,096.14 and 172,052.13

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Solution

The fourth proportional to 315,289.65, 435,096.14 and 172,052.13 is: 237,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,289.65 : 435,096.14 = 172,052.13 : x
  2. Step 2: Convert to fraction form
    315,289.65/435,096.14 = 172,052.13/x
  3. Step 3: Cross multiply
    315,289.65x = 435,096.14 × 172,052.13
  4. Step 4: Simplify right side
    315,289.65x = 74,859,216,781.52
  5. Step 5: Solve for x
    x = 74,859,216,781.52/315,289.65
  6. Step 6: Final answer
    x = 237,429.98

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1.5x scale

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.