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Finding the Fourth Proportional to 287,843.28, 397,854.36 and 253,590

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Solution

The fourth proportional to 287,843.28, 397,854.36 and 253,590 is: 350,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,843.28 : 397,854.36 = 253,590 : x
  2. Step 2: Convert to fraction form
    287,843.28/397,854.36 = 253,590/x
  3. Step 3: Cross multiply
    287,843.28x = 397,854.36 × 253,590
  4. Step 4: Simplify right side
    287,843.28x = 100,891,887,152.40
  5. Step 5: Solve for x
    x = 100,891,887,152.40/287,843.28
  6. Step 6: Final answer
    x = 350,509.79

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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.