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Finding the Fourth Proportional to 315,951.60, 473,927.40 and 313,983.30

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Solution

The fourth proportional to 315,951.60, 473,927.40 and 313,983.30 is: 470,974.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,951.60 : 473,927.40 = 313,983.30 : x
  2. Step 2: Convert to fraction form
    315,951.60/473,927.40 = 313,983.30/x
  3. Step 3: Cross multiply
    315,951.60x = 473,927.40 × 313,983.30
  4. Step 4: Simplify right side
    315,951.60x = 148,805,289,012.42
  5. Step 5: Solve for x
    x = 148,805,289,012.42/315,951.60
  6. Step 6: Final answer
    x = 470,974.95

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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.