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Finding the Fourth Proportional to 477,314.46, 715,971.42 and 140,357.92

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Solution

The fourth proportional to 477,314.46, 715,971.42 and 140,357.92 is: 210,536.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,314.46 : 715,971.42 = 140,357.92 : x
  2. Step 2: Convert to fraction form
    477,314.46/715,971.42 = 140,357.92/x
  3. Step 3: Cross multiply
    477,314.46x = 715,971.42 × 140,357.92
  4. Step 4: Simplify right side
    477,314.46x = 100,492,259,290.65
  5. Step 5: Solve for x
    x = 100,492,259,290.65/477,314.46
  6. Step 6: Final answer
    x = 210,536.80

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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.