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Finding the Fourth Proportional to 666,434.32, 919,305.50 and 408,436.22

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Solution

The fourth proportional to 666,434.32, 919,305.50 and 408,436.22 is: 563,412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,434.32 : 919,305.50 = 408,436.22 : x
  2. Step 2: Convert to fraction form
    666,434.32/919,305.50 = 408,436.22/x
  3. Step 3: Cross multiply
    666,434.32x = 919,305.50 × 408,436.22
  4. Step 4: Simplify right side
    666,434.32x = 375,477,663,445.21
  5. Step 5: Solve for x
    x = 375,477,663,445.21/666,434.32
  6. Step 6: Final answer
    x = 563,412.86

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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.