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Finding the Fourth Proportional to 405,165.76, 558,461.92 and 287,332.02

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Solution

The fourth proportional to 405,165.76, 558,461.92 and 287,332.02 is: 396,045.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,165.76 : 558,461.92 = 287,332.02 : x
  2. Step 2: Convert to fraction form
    405,165.76/558,461.92 = 287,332.02/x
  3. Step 3: Cross multiply
    405,165.76x = 558,461.92 × 287,332.02
  4. Step 4: Simplify right side
    405,165.76x = 160,463,991,566.68
  5. Step 5: Solve for x
    x = 160,463,991,566.68/405,165.76
  6. Step 6: Final answer
    x = 396,045.29

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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.