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Finding the Fourth Proportional to 470,454.60, 704,645.10 and 408,246.60

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Solution

The fourth proportional to 470,454.60, 704,645.10 and 408,246.60 is: 611,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,454.60 : 704,645.10 = 408,246.60 : x
  2. Step 2: Convert to fraction form
    470,454.60/704,645.10 = 408,246.60/x
  3. Step 3: Cross multiply
    470,454.60x = 704,645.10 × 408,246.60
  4. Step 4: Simplify right side
    470,454.60x = 287,668,966,281.66
  5. Step 5: Solve for x
    x = 287,668,966,281.66/470,454.60
  6. Step 6: Final answer
    x = 611,470.20

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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.