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Finding the Fourth Proportional to 659,449.28, 909,705.12 and 417,323.84

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Solution

The fourth proportional to 659,449.28, 909,705.12 and 417,323.84 is: 575,694.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,449.28 : 909,705.12 = 417,323.84 : x
  2. Step 2: Convert to fraction form
    659,449.28/909,705.12 = 417,323.84/x
  3. Step 3: Cross multiply
    659,449.28x = 909,705.12 × 417,323.84
  4. Step 4: Simplify right side
    659,449.28x = 379,641,633,946.06
  5. Step 5: Solve for x
    x = 379,641,633,946.06/659,449.28
  6. Step 6: Final answer
    x = 575,694.97

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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.