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Finding the Fourth Proportional to 284,058.72, 392,000.22 and 156,733.20

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Solution

The fourth proportional to 284,058.72, 392,000.22 and 156,733.20 is: 216,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,058.72 : 392,000.22 = 156,733.20 : x
  2. Step 2: Convert to fraction form
    284,058.72/392,000.22 = 156,733.20/x
  3. Step 3: Cross multiply
    284,058.72x = 392,000.22 × 156,733.20
  4. Step 4: Simplify right side
    284,058.72x = 61,439,448,881.30
  5. Step 5: Solve for x
    x = 61,439,448,881.30/284,058.72
  6. Step 6: Final answer
    x = 216,291.37

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1.5x scale

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.