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Finding the Fourth Proportional to 284,492.90, 392,608.12 and 157,176.70

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Solution

The fourth proportional to 284,492.90, 392,608.12 and 157,176.70 is: 216,908.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,492.90 : 392,608.12 = 157,176.70 : x
  2. Step 2: Convert to fraction form
    284,492.90/392,608.12 = 157,176.70/x
  3. Step 3: Cross multiply
    284,492.90x = 392,608.12 × 157,176.70
  4. Step 4: Simplify right side
    284,492.90x = 61,708,848,694.80
  5. Step 5: Solve for x
    x = 61,708,848,694.80/284,492.90
  6. Step 6: Final answer
    x = 216,908.22

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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.