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Finding the Fourth Proportional to 402,165.54, 603,248.04 and 102,646.17

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Solution

The fourth proportional to 402,165.54, 603,248.04 and 102,646.17 is: 153,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,165.54 : 603,248.04 = 102,646.17 : x
  2. Step 2: Convert to fraction form
    402,165.54/603,248.04 = 102,646.17/x
  3. Step 3: Cross multiply
    402,165.54x = 603,248.04 × 102,646.17
  4. Step 4: Simplify right side
    402,165.54x = 61,921,100,866.01
  5. Step 5: Solve for x
    x = 61,921,100,866.01/402,165.54
  6. Step 6: Final answer
    x = 153,969.19

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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.