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Finding the Fourth Proportional to 290,031.22, 400,237.06 and 160,962.20

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Solution

The fourth proportional to 290,031.22, 400,237.06 and 160,962.20 is: 222,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,031.22 : 400,237.06 = 160,962.20 : x
  2. Step 2: Convert to fraction form
    290,031.22/400,237.06 = 160,962.20/x
  3. Step 3: Cross multiply
    290,031.22x = 400,237.06 × 160,962.20
  4. Step 4: Simplify right side
    290,031.22x = 64,423,037,699.13
  5. Step 5: Solve for x
    x = 64,423,037,699.13/290,031.22
  6. Step 6: Final answer
    x = 222,124.49

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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.