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Finding the Fourth Proportional to 288,281.40, 431,255.70 and 253,289.40

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Solution

The fourth proportional to 288,281.40, 431,255.70 and 253,289.40 is: 378,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,281.40 : 431,255.70 = 253,289.40 : x
  2. Step 2: Convert to fraction form
    288,281.40/431,255.70 = 253,289.40/x
  3. Step 3: Cross multiply
    288,281.40x = 431,255.70 × 253,289.40
  4. Step 4: Simplify right side
    288,281.40x = 109,232,497,499.58
  5. Step 5: Solve for x
    x = 109,232,497,499.58/288,281.40
  6. Step 6: Final answer
    x = 378,909.28

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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.