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Finding the Fourth Proportional to 666,423.52, 919,290.70 and 408,425.46

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Solution

The fourth proportional to 666,423.52, 919,290.70 and 408,425.46 is: 563,398.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,423.52 : 919,290.70 = 408,425.46 : x
  2. Step 2: Convert to fraction form
    666,423.52/919,290.70 = 408,425.46/x
  3. Step 3: Cross multiply
    666,423.52x = 919,290.70 × 408,425.46
  4. Step 4: Simplify right side
    666,423.52x = 375,461,727,021.22
  5. Step 5: Solve for x
    x = 375,461,727,021.22/666,423.52
  6. Step 6: Final answer
    x = 563,398.07

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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.