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Finding the Fourth Proportional to 535,810.40, 803,423.60 and 161,784.80

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Solution

The fourth proportional to 535,810.40, 803,423.60 and 161,784.80 is: 242,589.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,810.40 : 803,423.60 = 161,784.80 : x
  2. Step 2: Convert to fraction form
    535,810.40/803,423.60 = 161,784.80/x
  3. Step 3: Cross multiply
    535,810.40x = 803,423.60 × 161,784.80
  4. Step 4: Simplify right side
    535,810.40x = 129,981,726,441.28
  5. Step 5: Solve for x
    x = 129,981,726,441.28/535,810.40
  6. Step 6: Final answer
    x = 242,589.03

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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.