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Finding the Fourth Proportional to 314,983.31, 472,696.36 and 284,868.32

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Solution

The fourth proportional to 314,983.31, 472,696.36 and 284,868.32 is: 427,502.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,983.31 : 472,696.36 = 284,868.32 : x
  2. Step 2: Convert to fraction form
    314,983.31/472,696.36 = 284,868.32/x
  3. Step 3: Cross multiply
    314,983.31x = 472,696.36 × 284,868.32
  4. Step 4: Simplify right side
    314,983.31x = 134,656,214,867.66
  5. Step 5: Solve for x
    x = 134,656,214,867.66/314,983.31
  6. Step 6: Final answer
    x = 427,502.70

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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.