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Finding the Fourth Proportional to 704,722.96, 972,453.48 and 418,193.68

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Solution

The fourth proportional to 704,722.96, 972,453.48 and 418,193.68 is: 577,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,722.96 : 972,453.48 = 418,193.68 : x
  2. Step 2: Convert to fraction form
    704,722.96/972,453.48 = 418,193.68/x
  3. Step 3: Cross multiply
    704,722.96x = 972,453.48 × 418,193.68
  4. Step 4: Simplify right side
    704,722.96x = 406,673,899,430.01
  5. Step 5: Solve for x
    x = 406,673,899,430.01/704,722.96
  6. Step 6: Final answer
    x = 577,069.18

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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.