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Finding the Fourth Proportional to 702,778.71, 1,054,365.03 and 282,349.83

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Solution

The fourth proportional to 702,778.71, 1,054,365.03 and 282,349.83 is: 423,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,778.71 : 1,054,365.03 = 282,349.83 : x
  2. Step 2: Convert to fraction form
    702,778.71/1,054,365.03 = 282,349.83/x
  3. Step 3: Cross multiply
    702,778.71x = 1,054,365.03 × 282,349.83
  4. Step 4: Simplify right side
    702,778.71x = 297,699,786,978.45
  5. Step 5: Solve for x
    x = 297,699,786,978.45/702,778.71
  6. Step 6: Final answer
    x = 423,603.88

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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.