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Finding the Fourth Proportional to 290,031.72, 400,237.76 and 160,962.71

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Solution

The fourth proportional to 290,031.72, 400,237.76 and 160,962.71 is: 222,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,031.72 : 400,237.76 = 160,962.71 : x
  2. Step 2: Convert to fraction form
    290,031.72/400,237.76 = 160,962.71/x
  3. Step 3: Cross multiply
    290,031.72x = 400,237.76 × 160,962.71
  4. Step 4: Simplify right side
    290,031.72x = 64,423,351,687.93
  5. Step 5: Solve for x
    x = 64,423,351,687.93/290,031.72
  6. Step 6: Final answer
    x = 222,125.19

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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.