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Finding the Fourth Proportional to 570,705.86, 787,546.03 and 312,583.94

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Solution

The fourth proportional to 570,705.86, 787,546.03 and 312,583.94 is: 431,350.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,705.86 : 787,546.03 = 312,583.94 : x
  2. Step 2: Convert to fraction form
    570,705.86/787,546.03 = 312,583.94/x
  3. Step 3: Cross multiply
    570,705.86x = 787,546.03 × 312,583.94
  4. Step 4: Simplify right side
    570,705.86x = 246,174,237,154.42
  5. Step 5: Solve for x
    x = 246,174,237,154.42/570,705.86
  6. Step 6: Final answer
    x = 431,350.46

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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.