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Finding the Fourth Proportional to 315,251.60, 472,877.40 and 306,503.60

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Solution

The fourth proportional to 315,251.60, 472,877.40 and 306,503.60 is: 459,755.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,251.60 : 472,877.40 = 306,503.60 : x
  2. Step 2: Convert to fraction form
    315,251.60/472,877.40 = 306,503.60/x
  3. Step 3: Cross multiply
    315,251.60x = 472,877.40 × 306,503.60
  4. Step 4: Simplify right side
    315,251.60x = 144,938,625,458.64
  5. Step 5: Solve for x
    x = 144,938,625,458.64/315,251.60
  6. Step 6: Final answer
    x = 459,755.40

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1.5x scale

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.