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Finding the Fourth Proportional to 535,295.20, 802,402.80 and 198,119.20

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Solution

The fourth proportional to 535,295.20, 802,402.80 and 198,119.20 is: 296,978.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,295.20 : 802,402.80 = 198,119.20 : x
  2. Step 2: Convert to fraction form
    535,295.20/802,402.80 = 198,119.20/x
  3. Step 3: Cross multiply
    535,295.20x = 802,402.80 × 198,119.20
  4. Step 4: Simplify right side
    535,295.20x = 158,971,400,813.76
  5. Step 5: Solve for x
    x = 158,971,400,813.76/535,295.20
  6. Step 6: Final answer
    x = 296,978.94

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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.