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Finding the Fourth Proportional to 535,916.80, 803,875.20 and 220,211.20

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Solution

The fourth proportional to 535,916.80, 803,875.20 and 220,211.20 is: 330,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,916.80 : 803,875.20 = 220,211.20 : x
  2. Step 2: Convert to fraction form
    535,916.80/803,875.20 = 220,211.20/x
  3. Step 3: Cross multiply
    535,916.80x = 803,875.20 × 220,211.20
  4. Step 4: Simplify right side
    535,916.80x = 177,022,322,442.24
  5. Step 5: Solve for x
    x = 177,022,322,442.24/535,916.80
  6. Step 6: Final answer
    x = 330,316.80

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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.