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Finding the Fourth Proportional to 726,271, 1,002,254 and 408,319

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Solution

The fourth proportional to 726,271, 1,002,254 and 408,319 is: 563,480.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,271 : 1,002,254 = 408,319 : x
  2. Step 2: Convert to fraction form
    726,271/1,002,254 = 408,319/x
  3. Step 3: Cross multiply
    726,271x = 1,002,254 × 408,319
  4. Step 4: Simplify right side
    726,271x = 409,239,351,026
  5. Step 5: Solve for x
    x = 409,239,351,026/726,271
  6. Step 6: Final answer
    x = 563,480.23

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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.