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Finding the Fourth Proportional to 284,878.40, 393,125.40 and 157,551.20

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Solution

The fourth proportional to 284,878.40, 393,125.40 and 157,551.20 is: 217,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,878.40 : 393,125.40 = 157,551.20 : x
  2. Step 2: Convert to fraction form
    284,878.40/393,125.40 = 157,551.20/x
  3. Step 3: Cross multiply
    284,878.40x = 393,125.40 × 157,551.20
  4. Step 4: Simplify right side
    284,878.40x = 61,937,378,520.48
  5. Step 5: Solve for x
    x = 61,937,378,520.48/284,878.40
  6. Step 6: Final answer
    x = 217,416.90

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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.