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Finding the Fourth Proportional to 389,167.40, 583,798.94 and 133,042.16

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Solution

The fourth proportional to 389,167.40, 583,798.94 and 133,042.16 is: 199,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,167.40 : 583,798.94 = 133,042.16 : x
  2. Step 2: Convert to fraction form
    389,167.40/583,798.94 = 133,042.16/x
  3. Step 3: Cross multiply
    389,167.40x = 583,798.94 × 133,042.16
  4. Step 4: Simplify right side
    389,167.40x = 77,669,871,983.31
  5. Step 5: Solve for x
    x = 77,669,871,983.31/389,167.40
  6. Step 6: Final answer
    x = 199,579.59

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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.