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Finding the Fourth Proportional to 649,408.79, 895,603.84 and 407,713.91

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Solution

The fourth proportional to 649,408.79, 895,603.84 and 407,713.91 is: 562,280.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,408.79 : 895,603.84 = 407,713.91 : x
  2. Step 2: Convert to fraction form
    649,408.79/895,603.84 = 407,713.91/x
  3. Step 3: Cross multiply
    649,408.79x = 895,603.84 × 407,713.91
  4. Step 4: Simplify right side
    649,408.79x = 365,150,137,920.11
  5. Step 5: Solve for x
    x = 365,150,137,920.11/649,408.79
  6. Step 6: Final answer
    x = 562,280.87

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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.