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Finding the Fourth Proportional to 745,158, 1,028,318.16 and 405,628.80

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Solution

The fourth proportional to 745,158, 1,028,318.16 and 405,628.80 is: 559,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,158 : 1,028,318.16 = 405,628.80 : x
  2. Step 2: Convert to fraction form
    745,158/1,028,318.16 = 405,628.80/x
  3. Step 3: Cross multiply
    745,158x = 1,028,318.16 × 405,628.80
  4. Step 4: Simplify right side
    745,158x = 417,115,461,259.01
  5. Step 5: Solve for x
    x = 417,115,461,259.01/745,158
  6. Step 6: Final answer
    x = 559,767.81

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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.