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Finding the Fourth Proportional to 470,129.60, 705,122.40 and 154,587.20

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Solution

The fourth proportional to 470,129.60, 705,122.40 and 154,587.20 is: 231,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,129.60 : 705,122.40 = 154,587.20 : x
  2. Step 2: Convert to fraction form
    470,129.60/705,122.40 = 154,587.20/x
  3. Step 3: Cross multiply
    470,129.60x = 705,122.40 × 154,587.20
  4. Step 4: Simplify right side
    470,129.60x = 109,002,897,473.28
  5. Step 5: Solve for x
    x = 109,002,897,473.28/470,129.60
  6. Step 6: Final answer
    x = 231,857.13

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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.