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Finding the Fourth Proportional to 666,294.96, 919,484.16 and 360,371.64

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Solution

The fourth proportional to 666,294.96, 919,484.16 and 360,371.64 is: 497,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,294.96 : 919,484.16 = 360,371.64 : x
  2. Step 2: Convert to fraction form
    666,294.96/919,484.16 = 360,371.64/x
  3. Step 3: Cross multiply
    666,294.96x = 919,484.16 × 360,371.64
  4. Step 4: Simplify right side
    666,294.96x = 331,356,014,693.22
  5. Step 5: Solve for x
    x = 331,356,014,693.22/666,294.96
  6. Step 6: Final answer
    x = 497,311.30

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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.