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Finding the Fourth Proportional to 315,315, 435,143.88 and 172,084.20

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Solution

The fourth proportional to 315,315, 435,143.88 and 172,084.20 is: 237,481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,315 : 435,143.88 = 172,084.20 : x
  2. Step 2: Convert to fraction form
    315,315/435,143.88 = 172,084.20/x
  3. Step 3: Cross multiply
    315,315x = 435,143.88 × 172,084.20
  4. Step 4: Simplify right side
    315,315x = 74,881,386,474.70
  5. Step 5: Solve for x
    x = 74,881,386,474.70/315,315
  6. Step 6: Final answer
    x = 237,481.21

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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.