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Finding the Fourth Proportional to 675,431.47, 1,013,147 and 254,608.93

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Solution

The fourth proportional to 675,431.47, 1,013,147 and 254,608.93 is: 381,913.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,431.47 : 1,013,147 = 254,608.93 : x
  2. Step 2: Convert to fraction form
    675,431.47/1,013,147 = 254,608.93/x
  3. Step 3: Cross multiply
    675,431.47x = 1,013,147 × 254,608.93
  4. Step 4: Simplify right side
    675,431.47x = 257,956,273,602.71
  5. Step 5: Solve for x
    x = 257,956,273,602.71/675,431.47
  6. Step 6: Final answer
    x = 381,913.32

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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.