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Finding the Fourth Proportional to 315,877.14, 475,946.90 and 260,947.80

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Solution

The fourth proportional to 315,877.14, 475,946.90 and 260,947.80 is: 393,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,877.14 : 475,946.90 = 260,947.80 : x
  2. Step 2: Convert to fraction form
    315,877.14/475,946.90 = 260,947.80/x
  3. Step 3: Cross multiply
    315,877.14x = 475,946.90 × 260,947.80
  4. Step 4: Simplify right side
    315,877.14x = 124,197,296,471.82
  5. Step 5: Solve for x
    x = 124,197,296,471.82/315,877.14
  6. Step 6: Final answer
    x = 393,182.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.