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Finding the Fourth Proportional to 747,354, 1,031,370.39 and 407,844.12

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Solution

The fourth proportional to 747,354, 1,031,370.39 and 407,844.12 is: 562,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,354 : 1,031,370.39 = 407,844.12 : x
  2. Step 2: Convert to fraction form
    747,354/1,031,370.39 = 407,844.12/x
  3. Step 3: Cross multiply
    747,354x = 1,031,370.39 × 407,844.12
  4. Step 4: Simplify right side
    747,354x = 420,638,349,103.61
  5. Step 5: Solve for x
    x = 420,638,349,103.61/747,354
  6. Step 6: Final answer
    x = 562,836.82

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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.