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Finding the Fourth Proportional to 465,195.40, 698,449.20 and 288,048.40

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Solution

The fourth proportional to 465,195.40, 698,449.20 and 288,048.40 is: 432,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,195.40 : 698,449.20 = 288,048.40 : x
  2. Step 2: Convert to fraction form
    465,195.40/698,449.20 = 288,048.40/x
  3. Step 3: Cross multiply
    465,195.40x = 698,449.20 × 288,048.40
  4. Step 4: Simplify right side
    465,195.40x = 201,187,174,541.28
  5. Step 5: Solve for x
    x = 201,187,174,541.28/465,195.40
  6. Step 6: Final answer
    x = 432,478.86

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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.