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Finding the Fourth Proportional to 922,324, 1,272,807.12 and 519,916

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Solution

The fourth proportional to 922,324, 1,272,807.12 and 519,916 is: 717,484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,324 : 1,272,807.12 = 519,916 : x
  2. Step 2: Convert to fraction form
    922,324/1,272,807.12 = 519,916/x
  3. Step 3: Cross multiply
    922,324x = 1,272,807.12 × 519,916
  4. Step 4: Simplify right side
    922,324x = 661,752,786,601.92
  5. Step 5: Solve for x
    x = 661,752,786,601.92/922,324
  6. Step 6: Final answer
    x = 717,484.08

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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.