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Finding the Fourth Proportional to 1,123,761, 1,685,643.12 and 458,913

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Solution

The fourth proportional to 1,123,761, 1,685,643.12 and 458,913 is: 688,370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123,761 : 1,685,643.12 = 458,913 : x
  2. Step 2: Convert to fraction form
    1,123,761/1,685,643.12 = 458,913/x
  3. Step 3: Cross multiply
    1,123,761x = 1,685,643.12 × 458,913
  4. Step 4: Simplify right side
    1,123,761x = 773,563,541,128.56
  5. Step 5: Solve for x
    x = 773,563,541,128.56/1,123,761
  6. Step 6: Final answer
    x = 688,370.16

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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.