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Finding the Fourth Proportional to 578,711.80, 867,938.10 and 380,423.80

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Solution

The fourth proportional to 578,711.80, 867,938.10 and 380,423.80 is: 570,550.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,711.80 : 867,938.10 = 380,423.80 : x
  2. Step 2: Convert to fraction form
    578,711.80/867,938.10 = 380,423.80/x
  3. Step 3: Cross multiply
    578,711.80x = 867,938.10 × 380,423.80
  4. Step 4: Simplify right side
    578,711.80x = 330,184,310,166.78
  5. Step 5: Solve for x
    x = 330,184,310,166.78/578,711.80
  6. Step 6: Final answer
    x = 570,550.51

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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.