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Finding the Fourth Proportional to 310,663, 465,400.84 and 260,383.87

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Solution

The fourth proportional to 310,663, 465,400.84 and 260,383.87 is: 390,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,663 : 465,400.84 = 260,383.87 : x
  2. Step 2: Convert to fraction form
    310,663/465,400.84 = 260,383.87/x
  3. Step 3: Cross multiply
    310,663x = 465,400.84 × 260,383.87
  4. Step 4: Simplify right side
    310,663x = 121,182,871,169.49
  5. Step 5: Solve for x
    x = 121,182,871,169.49/310,663
  6. Step 6: Final answer
    x = 390,078.22

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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.