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Finding the Fourth Proportional to 315,640.80, 473,461.20 and 157,812.30

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Solution

The fourth proportional to 315,640.80, 473,461.20 and 157,812.30 is: 236,718.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,640.80 : 473,461.20 = 157,812.30 : x
  2. Step 2: Convert to fraction form
    315,640.80/473,461.20 = 157,812.30/x
  3. Step 3: Cross multiply
    315,640.80x = 473,461.20 × 157,812.30
  4. Step 4: Simplify right side
    315,640.80x = 74,718,000,932.76
  5. Step 5: Solve for x
    x = 74,718,000,932.76/315,640.80
  6. Step 6: Final answer
    x = 236,718.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.