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Finding the Fourth Proportional to 288,064.20, 432,096.30 and 199,417.80

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Solution

The fourth proportional to 288,064.20, 432,096.30 and 199,417.80 is: 299,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,064.20 : 432,096.30 = 199,417.80 : x
  2. Step 2: Convert to fraction form
    288,064.20/432,096.30 = 199,417.80/x
  3. Step 3: Cross multiply
    288,064.20x = 432,096.30 × 199,417.80
  4. Step 4: Simplify right side
    288,064.20x = 86,167,693,534.14
  5. Step 5: Solve for x
    x = 86,167,693,534.14/288,064.20
  6. Step 6: Final answer
    x = 299,126.70

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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.