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Finding the Fourth Proportional to 315,009.20, 472,513.80 and 265,801.70

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Solution

The fourth proportional to 315,009.20, 472,513.80 and 265,801.70 is: 398,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,009.20 : 472,513.80 = 265,801.70 : x
  2. Step 2: Convert to fraction form
    315,009.20/472,513.80 = 265,801.70/x
  3. Step 3: Cross multiply
    315,009.20x = 472,513.80 × 265,801.70
  4. Step 4: Simplify right side
    315,009.20x = 125,594,971,313.46
  5. Step 5: Solve for x
    x = 125,594,971,313.46/315,009.20
  6. Step 6: Final answer
    x = 398,702.55

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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.