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Finding the Fourth Proportional to 402,539.80, 555,557.46 and 259,715.32

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Solution

The fourth proportional to 402,539.80, 555,557.46 and 259,715.32 is: 358,441.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,539.80 : 555,557.46 = 259,715.32 : x
  2. Step 2: Convert to fraction form
    402,539.80/555,557.46 = 259,715.32/x
  3. Step 3: Cross multiply
    402,539.80x = 555,557.46 × 259,715.32
  4. Step 4: Simplify right side
    402,539.80x = 144,286,783,502.29
  5. Step 5: Solve for x
    x = 144,286,783,502.29/402,539.80
  6. Step 6: Final answer
    x = 358,441.04

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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.