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Finding the Fourth Proportional to 527,769.74, 728,389.68 and 295,209.60

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Solution

The fourth proportional to 527,769.74, 728,389.68 and 295,209.60 is: 407,426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,769.74 : 728,389.68 = 295,209.60 : x
  2. Step 2: Convert to fraction form
    527,769.74/728,389.68 = 295,209.60/x
  3. Step 3: Cross multiply
    527,769.74x = 728,389.68 × 295,209.60
  4. Step 4: Simplify right side
    527,769.74x = 215,027,624,452.50
  5. Step 5: Solve for x
    x = 215,027,624,452.50/527,769.74
  6. Step 6: Final answer
    x = 407,426.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.