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Finding the Fourth Proportional to 284,392.02, 392,458.57 and 157,064.88

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Solution

The fourth proportional to 284,392.02, 392,458.57 and 157,064.88 is: 216,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,392.02 : 392,458.57 = 157,064.88 : x
  2. Step 2: Convert to fraction form
    284,392.02/392,458.57 = 157,064.88/x
  3. Step 3: Cross multiply
    284,392.02x = 392,458.57 × 157,064.88
  4. Step 4: Simplify right side
    284,392.02x = 61,641,458,202.02
  5. Step 5: Solve for x
    x = 61,641,458,202.02/284,392.02
  6. Step 6: Final answer
    x = 216,748.20

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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.