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Finding the Fourth Proportional to 360,309.72, 497,258.10 and 209,397

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Solution

The fourth proportional to 360,309.72, 497,258.10 and 209,397 is: 288,985.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,309.72 : 497,258.10 = 209,397 : x
  2. Step 2: Convert to fraction form
    360,309.72/497,258.10 = 209,397/x
  3. Step 3: Cross multiply
    360,309.72x = 497,258.10 × 209,397
  4. Step 4: Simplify right side
    360,309.72x = 104,124,354,365.70
  5. Step 5: Solve for x
    x = 104,124,354,365.70/360,309.72
  6. Step 6: Final answer
    x = 288,985.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.