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Finding the Fourth Proportional to 315,700.85, 435,661.68 and 172,457.21

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Solution

The fourth proportional to 315,700.85, 435,661.68 and 172,457.21 is: 237,987.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,700.85 : 435,661.68 = 172,457.21 : x
  2. Step 2: Convert to fraction form
    315,700.85/435,661.68 = 172,457.21/x
  3. Step 3: Cross multiply
    315,700.85x = 435,661.68 × 172,457.21
  4. Step 4: Simplify right side
    315,700.85x = 75,132,997,836.71
  5. Step 5: Solve for x
    x = 75,132,997,836.71/315,700.85
  6. Step 6: Final answer
    x = 237,987.95

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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.