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Finding the Fourth Proportional to 540,319.20, 809,409.60 and 473,834.40

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Solution

The fourth proportional to 540,319.20, 809,409.60 and 473,834.40 is: 709,813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,319.20 : 809,409.60 = 473,834.40 : x
  2. Step 2: Convert to fraction form
    540,319.20/809,409.60 = 473,834.40/x
  3. Step 3: Cross multiply
    540,319.20x = 809,409.60 × 473,834.40
  4. Step 4: Simplify right side
    540,319.20x = 383,526,112,170.24
  5. Step 5: Solve for x
    x = 383,526,112,170.24/540,319.20
  6. Step 6: Final answer
    x = 709,813.96

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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.