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Finding the Fourth Proportional to 470,257.60, 648,997.80 and 266,358.11

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Solution

The fourth proportional to 470,257.60, 648,997.80 and 266,358.11 is: 367,598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,257.60 : 648,997.80 = 266,358.11 : x
  2. Step 2: Convert to fraction form
    470,257.60/648,997.80 = 266,358.11/x
  3. Step 3: Cross multiply
    470,257.60x = 648,997.80 × 266,358.11
  4. Step 4: Simplify right side
    470,257.60x = 172,865,827,402.16
  5. Step 5: Solve for x
    x = 172,865,827,402.16/470,257.60
  6. Step 6: Final answer
    x = 367,598.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.