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Finding the Fourth Proportional to 284,954.80, 427,432.20 and 153,882.80

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Solution

The fourth proportional to 284,954.80, 427,432.20 and 153,882.80 is: 230,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,954.80 : 427,432.20 = 153,882.80 : x
  2. Step 2: Convert to fraction form
    284,954.80/427,432.20 = 153,882.80/x
  3. Step 3: Cross multiply
    284,954.80x = 427,432.20 × 153,882.80
  4. Step 4: Simplify right side
    284,954.80x = 65,774,463,746.16
  5. Step 5: Solve for x
    x = 65,774,463,746.16/284,954.80
  6. Step 6: Final answer
    x = 230,824.20

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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.