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Finding the Fourth Proportional to 666,438.32, 919,311 and 408,440.24

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Solution

The fourth proportional to 666,438.32, 919,311 and 408,440.24 is: 563,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,438.32 : 919,311 = 408,440.24 : x
  2. Step 2: Convert to fraction form
    666,438.32/919,311 = 408,440.24/x
  3. Step 3: Cross multiply
    666,438.32x = 919,311 × 408,440.24
  4. Step 4: Simplify right side
    666,438.32x = 375,483,605,474.64
  5. Step 5: Solve for x
    x = 375,483,605,474.64/666,438.32
  6. Step 6: Final answer
    x = 563,418.39

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1.5x scale

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.