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Finding the Fourth Proportional to 288,007.60, 431,646.90 and 110,277.40

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Solution

The fourth proportional to 288,007.60, 431,646.90 and 110,277.40 is: 165,276.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,007.60 : 431,646.90 = 110,277.40 : x
  2. Step 2: Convert to fraction form
    288,007.60/431,646.90 = 110,277.40/x
  3. Step 3: Cross multiply
    288,007.60x = 431,646.90 × 110,277.40
  4. Step 4: Simplify right side
    288,007.60x = 47,600,897,850.06
  5. Step 5: Solve for x
    x = 47,600,897,850.06/288,007.60
  6. Step 6: Final answer
    x = 165,276.53

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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.