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Finding the Fourth Proportional to 486,005.40, 729,008.10 and 299,122.20

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Solution

The fourth proportional to 486,005.40, 729,008.10 and 299,122.20 is: 448,683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,005.40 : 729,008.10 = 299,122.20 : x
  2. Step 2: Convert to fraction form
    486,005.40/729,008.10 = 299,122.20/x
  3. Step 3: Cross multiply
    486,005.40x = 729,008.10 × 299,122.20
  4. Step 4: Simplify right side
    486,005.40x = 218,062,506,689.82
  5. Step 5: Solve for x
    x = 218,062,506,689.82/486,005.40
  6. Step 6: Final answer
    x = 448,683.30

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.