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Finding the Fourth Proportional to 315,276.20, 472,914.30 and 286,245.80

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Solution

The fourth proportional to 315,276.20, 472,914.30 and 286,245.80 is: 429,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,276.20 : 472,914.30 = 286,245.80 : x
  2. Step 2: Convert to fraction form
    315,276.20/472,914.30 = 286,245.80/x
  3. Step 3: Cross multiply
    315,276.20x = 472,914.30 × 286,245.80
  4. Step 4: Simplify right side
    315,276.20x = 135,369,732,134.94
  5. Step 5: Solve for x
    x = 135,369,732,134.94/315,276.20
  6. Step 6: Final answer
    x = 429,368.70

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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.