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Finding the Fourth Proportional to 470,495.04, 705,754.08 and 138,081.60

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Solution

The fourth proportional to 470,495.04, 705,754.08 and 138,081.60 is: 207,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,495.04 : 705,754.08 = 138,081.60 : x
  2. Step 2: Convert to fraction form
    470,495.04/705,754.08 = 138,081.60/x
  3. Step 3: Cross multiply
    470,495.04x = 705,754.08 × 138,081.60
  4. Step 4: Simplify right side
    470,495.04x = 97,451,652,572.93
  5. Step 5: Solve for x
    x = 97,451,652,572.93/470,495.04
  6. Step 6: Final answer
    x = 207,125.78

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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.