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Finding the Fourth Proportional to 472,823.20, 709,234.80 and 388,842.40

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Solution

The fourth proportional to 472,823.20, 709,234.80 and 388,842.40 is: 583,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,823.20 : 709,234.80 = 388,842.40 : x
  2. Step 2: Convert to fraction form
    472,823.20/709,234.80 = 388,842.40/x
  3. Step 3: Cross multiply
    472,823.20x = 709,234.80 × 388,842.40
  4. Step 4: Simplify right side
    472,823.20x = 275,780,561,795.52
  5. Step 5: Solve for x
    x = 275,780,561,795.52/472,823.20
  6. Step 6: Final answer
    x = 583,263.60

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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.