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Finding the Fourth Proportional to 470,347.40, 649,091.49 and 255,499.76

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Solution

The fourth proportional to 470,347.40, 649,091.49 and 255,499.76 is: 352,596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,347.40 : 649,091.49 = 255,499.76 : x
  2. Step 2: Convert to fraction form
    470,347.40/649,091.49 = 255,499.76/x
  3. Step 3: Cross multiply
    470,347.40x = 649,091.49 × 255,499.76
  4. Step 4: Simplify right side
    470,347.40x = 165,842,719,913.04
  5. Step 5: Solve for x
    x = 165,842,719,913.04/470,347.40
  6. Step 6: Final answer
    x = 352,596.23

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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.