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Finding the Fourth Proportional to 315,947.60, 473,921.40 and 313,979.30

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Solution

The fourth proportional to 315,947.60, 473,921.40 and 313,979.30 is: 470,968.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,947.60 : 473,921.40 = 313,979.30 : x
  2. Step 2: Convert to fraction form
    315,947.60/473,921.40 = 313,979.30/x
  3. Step 3: Cross multiply
    315,947.60x = 473,921.40 × 313,979.30
  4. Step 4: Simplify right side
    315,947.60x = 148,801,509,427.02
  5. Step 5: Solve for x
    x = 148,801,509,427.02/315,947.60
  6. Step 6: Final answer
    x = 470,968.95

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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.