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Finding the Fourth Proportional to 557,947.66, 769,951.56 and 316,252.48

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Solution

The fourth proportional to 557,947.66, 769,951.56 and 316,252.48 is: 436,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,947.66 : 769,951.56 = 316,252.48 : x
  2. Step 2: Convert to fraction form
    557,947.66/769,951.56 = 316,252.48/x
  3. Step 3: Cross multiply
    557,947.66x = 769,951.56 × 316,252.48
  4. Step 4: Simplify right side
    557,947.66x = 243,499,090,329.87
  5. Step 5: Solve for x
    x = 243,499,090,329.87/557,947.66
  6. Step 6: Final answer
    x = 436,419.23

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1.5x scale

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.