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Finding the Fourth Proportional to 498,547.20, 747,820.80 and 203,059.20

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Solution

The fourth proportional to 498,547.20, 747,820.80 and 203,059.20 is: 304,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,547.20 : 747,820.80 = 203,059.20 : x
  2. Step 2: Convert to fraction form
    498,547.20/747,820.80 = 203,059.20/x
  3. Step 3: Cross multiply
    498,547.20x = 747,820.80 × 203,059.20
  4. Step 4: Simplify right side
    498,547.20x = 151,851,893,391.36
  5. Step 5: Solve for x
    x = 151,851,893,391.36/498,547.20
  6. Step 6: Final answer
    x = 304,588.80

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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.