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Finding the Fourth Proportional to 657,866.34, 986,004.78 and 320,401.32

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Solution

The fourth proportional to 657,866.34, 986,004.78 and 320,401.32 is: 480,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,866.34 : 986,004.78 = 320,401.32 : x
  2. Step 2: Convert to fraction form
    657,866.34/986,004.78 = 320,401.32/x
  3. Step 3: Cross multiply
    657,866.34x = 986,004.78 × 320,401.32
  4. Step 4: Simplify right side
    657,866.34x = 315,917,233,038.31
  5. Step 5: Solve for x
    x = 315,917,233,038.31/657,866.34
  6. Step 6: Final answer
    x = 480,214.92

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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.