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Finding the Fourth Proportional to 469,773.64, 648,016.50 and 299,816.20

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Solution

The fourth proportional to 469,773.64, 648,016.50 and 299,816.20 is: 413,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,773.64 : 648,016.50 = 299,816.20 : x
  2. Step 2: Convert to fraction form
    469,773.64/648,016.50 = 299,816.20/x
  3. Step 3: Cross multiply
    469,773.64x = 648,016.50 × 299,816.20
  4. Step 4: Simplify right side
    469,773.64x = 194,285,844,567.30
  5. Step 5: Solve for x
    x = 194,285,844,567.30/469,773.64
  6. Step 6: Final answer
    x = 413,573.32

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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.