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Finding the Fourth Proportional to 922,916, 1,273,624.08 and 498,980

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Solution

The fourth proportional to 922,916, 1,273,624.08 and 498,980 is: 688,592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,916 : 1,273,624.08 = 498,980 : x
  2. Step 2: Convert to fraction form
    922,916/1,273,624.08 = 498,980/x
  3. Step 3: Cross multiply
    922,916x = 1,273,624.08 × 498,980
  4. Step 4: Simplify right side
    922,916x = 635,512,943,438.40
  5. Step 5: Solve for x
    x = 635,512,943,438.40/922,916
  6. Step 6: Final answer
    x = 688,592.40

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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.