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Finding the Fourth Proportional to 656,943.48, 906,426.72 and 398,813.76

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Solution

The fourth proportional to 656,943.48, 906,426.72 and 398,813.76 is: 550,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,943.48 : 906,426.72 = 398,813.76 : x
  2. Step 2: Convert to fraction form
    656,943.48/906,426.72 = 398,813.76/x
  3. Step 3: Cross multiply
    656,943.48x = 906,426.72 × 398,813.76
  4. Step 4: Simplify right side
    656,943.48x = 361,495,448,367.67
  5. Step 5: Solve for x
    x = 361,495,448,367.67/656,943.48
  6. Step 6: Final answer
    x = 550,268.72

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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.