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Finding the Fourth Proportional to 470,742.60, 705,077.10 and 408,534.60

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Solution

The fourth proportional to 470,742.60, 705,077.10 and 408,534.60 is: 611,902.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,742.60 : 705,077.10 = 408,534.60 : x
  2. Step 2: Convert to fraction form
    470,742.60/705,077.10 = 408,534.60/x
  3. Step 3: Cross multiply
    470,742.60x = 705,077.10 × 408,534.60
  4. Step 4: Simplify right side
    470,742.60x = 288,048,391,017.66
  5. Step 5: Solve for x
    x = 288,048,391,017.66/470,742.60
  6. Step 6: Final answer
    x = 611,902.11

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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.