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Finding the Fourth Proportional to 402,165.95, 603,248.38 and 102,646.51

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Solution

The fourth proportional to 402,165.95, 603,248.38 and 102,646.51 is: 153,969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,165.95 : 603,248.38 = 102,646.51 : x
  2. Step 2: Convert to fraction form
    402,165.95/603,248.38 = 102,646.51/x
  3. Step 3: Cross multiply
    402,165.95x = 603,248.38 × 102,646.51
  4. Step 4: Simplify right side
    402,165.95x = 61,921,339,105.42
  5. Step 5: Solve for x
    x = 61,921,339,105.42/402,165.95
  6. Step 6: Final answer
    x = 153,969.62

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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.