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Finding the Fourth Proportional to 402,629.64, 555,682.80 and 259,804.92

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Solution

The fourth proportional to 402,629.64, 555,682.80 and 259,804.92 is: 358,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,629.64 : 555,682.80 = 259,804.92 : x
  2. Step 2: Convert to fraction form
    402,629.64/555,682.80 = 259,804.92/x
  3. Step 3: Cross multiply
    402,629.64x = 555,682.80 × 259,804.92
  4. Step 4: Simplify right side
    402,629.64x = 144,369,125,399.38
  5. Step 5: Solve for x
    x = 144,369,125,399.38/402,629.64
  6. Step 6: Final answer
    x = 358,565.57

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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.