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Finding the Fourth Proportional to 288,053.60, 432,080.40 and 199,480.10

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Solution

The fourth proportional to 288,053.60, 432,080.40 and 199,480.10 is: 299,220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,053.60 : 432,080.40 = 199,480.10 : x
  2. Step 2: Convert to fraction form
    288,053.60/432,080.40 = 199,480.10/x
  3. Step 3: Cross multiply
    288,053.60x = 432,080.40 × 199,480.10
  4. Step 4: Simplify right side
    288,053.60x = 86,191,441,400.04
  5. Step 5: Solve for x
    x = 86,191,441,400.04/288,053.60
  6. Step 6: Final answer
    x = 299,220.15

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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.