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Finding the Fourth Proportional to 314,239.78, 471,360.63 and 77,582.49

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Solution

The fourth proportional to 314,239.78, 471,360.63 and 77,582.49 is: 116,373.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,239.78 : 471,360.63 = 77,582.49 : x
  2. Step 2: Convert to fraction form
    314,239.78/471,360.63 = 77,582.49/x
  3. Step 3: Cross multiply
    314,239.78x = 471,360.63 × 77,582.49
  4. Step 4: Simplify right side
    314,239.78x = 36,569,331,363.37
  5. Step 5: Solve for x
    x = 36,569,331,363.37/314,239.78
  6. Step 6: Final answer
    x = 116,373.97

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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.