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Finding the Fourth Proportional to 519,421.84, 780,381.33 and 490,746.22

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Solution

The fourth proportional to 519,421.84, 780,381.33 and 490,746.22 is: 737,298.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,421.84 : 780,381.33 = 490,746.22 : x
  2. Step 2: Convert to fraction form
    519,421.84/780,381.33 = 490,746.22/x
  3. Step 3: Cross multiply
    519,421.84x = 780,381.33 × 490,746.22
  4. Step 4: Simplify right side
    519,421.84x = 382,969,187,856.07
  5. Step 5: Solve for x
    x = 382,969,187,856.07/519,421.84
  6. Step 6: Final answer
    x = 737,298.97

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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.