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Finding the Fourth Proportional to 315,631.40, 472,280.70 and 287,637.80

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Solution

The fourth proportional to 315,631.40, 472,280.70 and 287,637.80 is: 430,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,631.40 : 472,280.70 = 287,637.80 : x
  2. Step 2: Convert to fraction form
    315,631.40/472,280.70 = 287,637.80/x
  3. Step 3: Cross multiply
    315,631.40x = 472,280.70 × 287,637.80
  4. Step 4: Simplify right side
    315,631.40x = 135,845,781,530.46
  5. Step 5: Solve for x
    x = 135,845,781,530.46/315,631.40
  6. Step 6: Final answer
    x = 430,393.75

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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.