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Finding the Fourth Proportional to 399,032.40, 598,030.20 and 288,094.80

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Solution

The fourth proportional to 399,032.40, 598,030.20 and 288,094.80 is: 431,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,032.40 : 598,030.20 = 288,094.80 : x
  2. Step 2: Convert to fraction form
    399,032.40/598,030.20 = 288,094.80/x
  3. Step 3: Cross multiply
    399,032.40x = 598,030.20 × 288,094.80
  4. Step 4: Simplify right side
    399,032.40x = 172,289,390,862.96
  5. Step 5: Solve for x
    x = 172,289,390,862.96/399,032.40
  6. Step 6: Final answer
    x = 431,767.92

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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.