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Finding the Fourth Proportional to 1,123,767, 1,685,652.12 and 458,919

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Solution

The fourth proportional to 1,123,767, 1,685,652.12 and 458,919 is: 688,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123,767 : 1,685,652.12 = 458,919 : x
  2. Step 2: Convert to fraction form
    1,123,767/1,685,652.12 = 458,919/x
  3. Step 3: Cross multiply
    1,123,767x = 1,685,652.12 × 458,919
  4. Step 4: Simplify right side
    1,123,767x = 773,577,785,258.28
  5. Step 5: Solve for x
    x = 773,577,785,258.28/1,123,767
  6. Step 6: Final answer
    x = 688,379.16

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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.