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Finding the Fourth Proportional to 570,524.78, 787,321.20 and 312,397.04

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Solution

The fourth proportional to 570,524.78, 787,321.20 and 312,397.04 is: 431,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,524.78 : 787,321.20 = 312,397.04 : x
  2. Step 2: Convert to fraction form
    570,524.78/787,321.20 = 312,397.04/x
  3. Step 3: Cross multiply
    570,524.78x = 787,321.20 × 312,397.04
  4. Step 4: Simplify right side
    570,524.78x = 245,956,812,409.25
  5. Step 5: Solve for x
    x = 245,956,812,409.25/570,524.78
  6. Step 6: Final answer
    x = 431,106.27

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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.