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Finding the Fourth Proportional to 665,266.48, 918,369.86 and 423,880

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Solution

The fourth proportional to 665,266.48, 918,369.86 and 423,880 is: 585,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,266.48 : 918,369.86 = 423,880 : x
  2. Step 2: Convert to fraction form
    665,266.48/918,369.86 = 423,880/x
  3. Step 3: Cross multiply
    665,266.48x = 918,369.86 × 423,880
  4. Step 4: Simplify right side
    665,266.48x = 389,278,616,256.80
  5. Step 5: Solve for x
    x = 389,278,616,256.80/665,266.48
  6. Step 6: Final answer
    x = 585,146.90

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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.