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Finding the Fourth Proportional to 650,412.77, 897,462.53 and 408,523.05

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Solution

The fourth proportional to 650,412.77, 897,462.53 and 408,523.05 is: 563,694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,412.77 : 897,462.53 = 408,523.05 : x
  2. Step 2: Convert to fraction form
    650,412.77/897,462.53 = 408,523.05/x
  3. Step 3: Cross multiply
    650,412.77x = 897,462.53 × 408,523.05
  4. Step 4: Simplify right side
    650,412.77x = 366,634,127,973.70
  5. Step 5: Solve for x
    x = 366,634,127,973.70/650,412.77
  6. Step 6: Final answer
    x = 563,694.55

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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.