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Finding the Fourth Proportional to 610,665.12, 916,561.44 and 440,064

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Solution

The fourth proportional to 610,665.12, 916,561.44 and 440,064 is: 660,502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,665.12 : 916,561.44 = 440,064 : x
  2. Step 2: Convert to fraction form
    610,665.12/916,561.44 = 440,064/x
  3. Step 3: Cross multiply
    610,665.12x = 916,561.44 × 440,064
  4. Step 4: Simplify right side
    610,665.12x = 403,345,693,532.16
  5. Step 5: Solve for x
    x = 403,345,693,532.16/610,665.12
  6. Step 6: Final answer
    x = 660,502.26

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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.