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Finding the Fourth Proportional to 922,584, 1,273,165.92 and 498,648

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Solution

The fourth proportional to 922,584, 1,273,165.92 and 498,648 is: 688,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,584 : 1,273,165.92 = 498,648 : x
  2. Step 2: Convert to fraction form
    922,584/1,273,165.92 = 498,648/x
  3. Step 3: Cross multiply
    922,584x = 1,273,165.92 × 498,648
  4. Step 4: Simplify right side
    922,584x = 634,861,639,676.16
  5. Step 5: Solve for x
    x = 634,861,639,676.16/922,584
  6. Step 6: Final answer
    x = 688,134.24

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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.