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Finding the Fourth Proportional to 355,458.24, 532,727.64 and 266,009.76

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Solution

The fourth proportional to 355,458.24, 532,727.64 and 266,009.76 is: 398,670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,458.24 : 532,727.64 = 266,009.76 : x
  2. Step 2: Convert to fraction form
    355,458.24/532,727.64 = 266,009.76/x
  3. Step 3: Cross multiply
    355,458.24x = 532,727.64 × 266,009.76
  4. Step 4: Simplify right side
    355,458.24x = 141,710,751,661.77
  5. Step 5: Solve for x
    x = 141,710,751,661.77/355,458.24
  6. Step 6: Final answer
    x = 398,670.61

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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.