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Finding the Fourth Proportional to 305,114.40, 457,671.60 and 288,007.20

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Solution

The fourth proportional to 305,114.40, 457,671.60 and 288,007.20 is: 432,010.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,114.40 : 457,671.60 = 288,007.20 : x
  2. Step 2: Convert to fraction form
    305,114.40/457,671.60 = 288,007.20/x
  3. Step 3: Cross multiply
    305,114.40x = 457,671.60 × 288,007.20
  4. Step 4: Simplify right side
    305,114.40x = 131,812,716,035.52
  5. Step 5: Solve for x
    x = 131,812,716,035.52/305,114.40
  6. Step 6: Final answer
    x = 432,010.80

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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.