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Finding the Fourth Proportional to 639,047.26, 957,585.51 and 314,462.74

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Solution

The fourth proportional to 639,047.26, 957,585.51 and 314,462.74 is: 471,209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,047.26 : 957,585.51 = 314,462.74 : x
  2. Step 2: Convert to fraction form
    639,047.26/957,585.51 = 314,462.74/x
  3. Step 3: Cross multiply
    639,047.26x = 957,585.51 × 314,462.74
  4. Step 4: Simplify right side
    639,047.26x = 301,124,963,258.90
  5. Step 5: Solve for x
    x = 301,124,963,258.90/639,047.26
  6. Step 6: Final answer
    x = 471,209.22

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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.