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Finding the Fourth Proportional to 666,433.32, 919,304.12 and 408,435.22

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Solution

The fourth proportional to 666,433.32, 919,304.12 and 408,435.22 is: 563,411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,433.32 : 919,304.12 = 408,435.22 : x
  2. Step 2: Convert to fraction form
    666,433.32/919,304.12 = 408,435.22/x
  3. Step 3: Cross multiply
    666,433.32x = 919,304.12 × 408,435.22
  4. Step 4: Simplify right side
    666,433.32x = 375,476,180,499.11
  5. Step 5: Solve for x
    x = 375,476,180,499.11/666,433.32
  6. Step 6: Final answer
    x = 563,411.48

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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.