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Finding the Fourth Proportional to 408,069.60, 571,764 and 408,069.60

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Solution

The fourth proportional to 408,069.60, 571,764 and 408,069.60 is: 571,764

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,069.60 : 571,764 = 408,069.60 : x
  2. Step 2: Convert to fraction form
    408,069.60/571,764 = 408,069.60/x
  3. Step 3: Cross multiply
    408,069.60x = 571,764 × 408,069.60
  4. Step 4: Simplify right side
    408,069.60x = 233,319,506,774.40
  5. Step 5: Solve for x
    x = 233,319,506,774.40/408,069.60
  6. Step 6: Final answer
    x = 571,764

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.