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Finding the Fourth Proportional to 526,945, 727,184.10 and 288,481

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Solution

The fourth proportional to 526,945, 727,184.10 and 288,481 is: 398,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,945 : 727,184.10 = 288,481 : x
  2. Step 2: Convert to fraction form
    526,945/727,184.10 = 288,481/x
  3. Step 3: Cross multiply
    526,945x = 727,184.10 × 288,481
  4. Step 4: Simplify right side
    526,945x = 209,778,796,352.10
  5. Step 5: Solve for x
    x = 209,778,796,352.10/526,945
  6. Step 6: Final answer
    x = 398,103.78

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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.