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Finding the Fourth Proportional to 315,532.80, 472,780.80 and 296,870.40

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Solution

The fourth proportional to 315,532.80, 472,780.80 and 296,870.40 is: 444,817.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,532.80 : 472,780.80 = 296,870.40 : x
  2. Step 2: Convert to fraction form
    315,532.80/472,780.80 = 296,870.40/x
  3. Step 3: Cross multiply
    315,532.80x = 472,780.80 × 296,870.40
  4. Step 4: Simplify right side
    315,532.80x = 140,354,625,208.32
  5. Step 5: Solve for x
    x = 140,354,625,208.32/315,532.80
  6. Step 6: Final answer
    x = 444,817.86

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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.