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Finding the Fourth Proportional to 727,487.60, 1,003,830.03 and 413,148.74

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Solution

The fourth proportional to 727,487.60, 1,003,830.03 and 413,148.74 is: 570,086.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,487.60 : 1,003,830.03 = 413,148.74 : x
  2. Step 2: Convert to fraction form
    727,487.60/1,003,830.03 = 413,148.74/x
  3. Step 3: Cross multiply
    727,487.60x = 1,003,830.03 × 413,148.74
  4. Step 4: Simplify right side
    727,487.60x = 414,731,107,049.51
  5. Step 5: Solve for x
    x = 414,731,107,049.51/727,487.60
  6. Step 6: Final answer
    x = 570,086.84

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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.