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Finding the Fourth Proportional to 287,752.20, 431,628.30 and 257,425.80

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Solution

The fourth proportional to 287,752.20, 431,628.30 and 257,425.80 is: 386,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,752.20 : 431,628.30 = 257,425.80 : x
  2. Step 2: Convert to fraction form
    287,752.20/431,628.30 = 257,425.80/x
  3. Step 3: Cross multiply
    287,752.20x = 431,628.30 × 257,425.80
  4. Step 4: Simplify right side
    287,752.20x = 111,112,260,430.14
  5. Step 5: Solve for x
    x = 111,112,260,430.14/287,752.20
  6. Step 6: Final answer
    x = 386,138.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.