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Finding the Fourth Proportional to 922,613.76, 1,384,151.04 and 257,760

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Solution

The fourth proportional to 922,613.76, 1,384,151.04 and 257,760 is: 386,704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,613.76 : 1,384,151.04 = 257,760 : x
  2. Step 2: Convert to fraction form
    922,613.76/1,384,151.04 = 257,760/x
  3. Step 3: Cross multiply
    922,613.76x = 1,384,151.04 × 257,760
  4. Step 4: Simplify right side
    922,613.76x = 356,778,772,070.40
  5. Step 5: Solve for x
    x = 356,778,772,070.40/922,613.76
  6. Step 6: Final answer
    x = 386,704.37

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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.