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Finding the Fourth Proportional to 470,177.66, 648,948.51 and 309,047.70

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Solution

The fourth proportional to 470,177.66, 648,948.51 and 309,047.70 is: 426,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,177.66 : 648,948.51 = 309,047.70 : x
  2. Step 2: Convert to fraction form
    470,177.66/648,948.51 = 309,047.70/x
  3. Step 3: Cross multiply
    470,177.66x = 648,948.51 × 309,047.70
  4. Step 4: Simplify right side
    470,177.66x = 200,556,046,867.48
  5. Step 5: Solve for x
    x = 200,556,046,867.48/470,177.66
  6. Step 6: Final answer
    x = 426,553.75

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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.