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Finding the Fourth Proportional to 745,215, 1,028,396.70 and 405,663

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Solution

The fourth proportional to 745,215, 1,028,396.70 and 405,663 is: 559,814.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,215 : 1,028,396.70 = 405,663 : x
  2. Step 2: Convert to fraction form
    745,215/1,028,396.70 = 405,663/x
  3. Step 3: Cross multiply
    745,215x = 1,028,396.70 × 405,663
  4. Step 4: Simplify right side
    745,215x = 417,182,490,512.10
  5. Step 5: Solve for x
    x = 417,182,490,512.10/745,215
  6. Step 6: Final answer
    x = 559,814.94

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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.