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Finding the Fourth Proportional to 284,058.90, 392,009.42 and 156,742.70

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Solution

The fourth proportional to 284,058.90, 392,009.42 and 156,742.70 is: 216,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,058.90 : 392,009.42 = 156,742.70 : x
  2. Step 2: Convert to fraction form
    284,058.90/392,009.42 = 156,742.70/x
  3. Step 3: Cross multiply
    284,058.90x = 392,009.42 × 156,742.70
  4. Step 4: Simplify right side
    284,058.90x = 61,444,613,348.04
  5. Step 5: Solve for x
    x = 61,444,613,348.04/284,058.90
  6. Step 6: Final answer
    x = 216,309.41

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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.