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Finding the Fourth Proportional to 317,106.76, 437,353.20 and 278,784.88

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Solution

The fourth proportional to 317,106.76, 437,353.20 and 278,784.88 is: 384,499.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,106.76 : 437,353.20 = 278,784.88 : x
  2. Step 2: Convert to fraction form
    317,106.76/437,353.20 = 278,784.88/x
  3. Step 3: Cross multiply
    317,106.76x = 437,353.20 × 278,784.88
  4. Step 4: Simplify right side
    317,106.76x = 121,927,459,379.62
  5. Step 5: Solve for x
    x = 121,927,459,379.62/317,106.76
  6. Step 6: Final answer
    x = 384,499.72

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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.