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Finding the Fourth Proportional to 666,421.53, 919,287.93 and 408,423.47

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Solution

The fourth proportional to 666,421.53, 919,287.93 and 408,423.47 is: 563,395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,421.53 : 919,287.93 = 408,423.47 : x
  2. Step 2: Convert to fraction form
    666,421.53/919,287.93 = 408,423.47/x
  3. Step 3: Cross multiply
    666,421.53x = 919,287.93 × 408,423.47
  4. Step 4: Simplify right side
    666,421.53x = 375,458,763,234.87
  5. Step 5: Solve for x
    x = 375,458,763,234.87/666,421.53
  6. Step 6: Final answer
    x = 563,395.31

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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.