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Finding the Fourth Proportional to 516,187.83, 773,035.85 and 310,430.78

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Solution

The fourth proportional to 516,187.83, 773,035.85 and 310,430.78 is: 464,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,187.83 : 773,035.85 = 310,430.78 : x
  2. Step 2: Convert to fraction form
    516,187.83/773,035.85 = 310,430.78/x
  3. Step 3: Cross multiply
    516,187.83x = 773,035.85 × 310,430.78
  4. Step 4: Simplify right side
    516,187.83x = 239,974,118,794.36
  5. Step 5: Solve for x
    x = 239,974,118,794.36/516,187.83
  6. Step 6: Final answer
    x = 464,896.89

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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.