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Finding the Fourth Proportional to 570,892.07, 787,830.93 and 312,778.17

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Solution

The fourth proportional to 570,892.07, 787,830.93 and 312,778.17 is: 431,633.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,892.07 : 787,830.93 = 312,778.17 : x
  2. Step 2: Convert to fraction form
    570,892.07/787,830.93 = 312,778.17/x
  3. Step 3: Cross multiply
    570,892.07x = 787,830.93 × 312,778.17
  4. Step 4: Simplify right side
    570,892.07x = 246,416,314,585.22
  5. Step 5: Solve for x
    x = 246,416,314,585.22/570,892.07
  6. Step 6: Final answer
    x = 431,633.81

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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.