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Finding the Fourth Proportional to 745,262, 1,028,464 and 405,732.72

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Solution

The fourth proportional to 745,262, 1,028,464 and 405,732.72 is: 559,912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,262 : 1,028,464 = 405,732.72 : x
  2. Step 2: Convert to fraction form
    745,262/1,028,464 = 405,732.72/x
  3. Step 3: Cross multiply
    745,262x = 1,028,464 × 405,732.72
  4. Step 4: Simplify right side
    745,262x = 417,281,496,142.08
  5. Step 5: Solve for x
    x = 417,281,496,142.08/745,262
  6. Step 6: Final answer
    x = 559,912.48

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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.