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Finding the Fourth Proportional to 578,404.70, 868,643.85 and 420,811.10

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Solution

The fourth proportional to 578,404.70, 868,643.85 and 420,811.10 is: 631,970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,404.70 : 868,643.85 = 420,811.10 : x
  2. Step 2: Convert to fraction form
    578,404.70/868,643.85 = 420,811.10/x
  3. Step 3: Cross multiply
    578,404.70x = 868,643.85 × 420,811.10
  4. Step 4: Simplify right side
    578,404.70x = 365,534,974,026.74
  5. Step 5: Solve for x
    x = 365,534,974,026.74/578,404.70
  6. Step 6: Final answer
    x = 631,970.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.