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Finding the Fourth Proportional to 519,058.62, 716,178.65 and 315,104.40

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Solution

The fourth proportional to 519,058.62, 716,178.65 and 315,104.40 is: 434,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,058.62 : 716,178.65 = 315,104.40 : x
  2. Step 2: Convert to fraction form
    519,058.62/716,178.65 = 315,104.40/x
  3. Step 3: Cross multiply
    519,058.62x = 716,178.65 × 315,104.40
  4. Step 4: Simplify right side
    519,058.62x = 225,671,042,225.54
  5. Step 5: Solve for x
    x = 225,671,042,225.54/519,058.62
  6. Step 6: Final answer
    x = 434,769.86

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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.