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Finding the Fourth Proportional to 314,935.20, 472,402.80 and 310,512.60

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Solution

The fourth proportional to 314,935.20, 472,402.80 and 310,512.60 is: 465,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,935.20 : 472,402.80 = 310,512.60 : x
  2. Step 2: Convert to fraction form
    314,935.20/472,402.80 = 310,512.60/x
  3. Step 3: Cross multiply
    314,935.20x = 472,402.80 × 310,512.60
  4. Step 4: Simplify right side
    314,935.20x = 146,687,021,675.28
  5. Step 5: Solve for x
    x = 146,687,021,675.28/314,935.20
  6. Step 6: Final answer
    x = 465,768.90

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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.