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Finding the Fourth Proportional to 315,918.20, 472,955.70 and 306,702.20

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Solution

The fourth proportional to 315,918.20, 472,955.70 and 306,702.20 is: 459,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,918.20 : 472,955.70 = 306,702.20 : x
  2. Step 2: Convert to fraction form
    315,918.20/472,955.70 = 306,702.20/x
  3. Step 3: Cross multiply
    315,918.20x = 472,955.70 × 306,702.20
  4. Step 4: Simplify right side
    315,918.20x = 145,056,553,692.54
  5. Step 5: Solve for x
    x = 145,056,553,692.54/315,918.20
  6. Step 6: Final answer
    x = 459,158.59

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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.