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Finding the Fourth Proportional to 470,385.46, 648,988.90 and 266,403.97

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Solution

The fourth proportional to 470,385.46, 648,988.90 and 266,403.97 is: 367,556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,385.46 : 648,988.90 = 266,403.97 : x
  2. Step 2: Convert to fraction form
    470,385.46/648,988.90 = 266,403.97/x
  3. Step 3: Cross multiply
    470,385.46x = 648,988.90 × 266,403.97
  4. Step 4: Simplify right side
    470,385.46x = 172,893,219,445.93
  5. Step 5: Solve for x
    x = 172,893,219,445.93/470,385.46
  6. Step 6: Final answer
    x = 367,556.47

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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.