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Finding the Fourth Proportional to 350,513.60, 525,079.20 and 209,854.40

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Solution

The fourth proportional to 350,513.60, 525,079.20 and 209,854.40 is: 314,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,513.60 : 525,079.20 = 209,854.40 : x
  2. Step 2: Convert to fraction form
    350,513.60/525,079.20 = 209,854.40/x
  3. Step 3: Cross multiply
    350,513.60x = 525,079.20 × 209,854.40
  4. Step 4: Simplify right side
    350,513.60x = 110,190,180,468.48
  5. Step 5: Solve for x
    x = 110,190,180,468.48/350,513.60
  6. Step 6: Final answer
    x = 314,367.77

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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.