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Finding the Fourth Proportional to 300,878.16, 415,216.98 and 164,909.40

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Solution

The fourth proportional to 300,878.16, 415,216.98 and 164,909.40 is: 227,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,878.16 : 415,216.98 = 164,909.40 : x
  2. Step 2: Convert to fraction form
    300,878.16/415,216.98 = 164,909.40/x
  3. Step 3: Cross multiply
    300,878.16x = 415,216.98 × 164,909.40
  4. Step 4: Simplify right side
    300,878.16x = 68,473,183,041.61
  5. Step 5: Solve for x
    x = 68,473,183,041.61/300,878.16
  6. Step 6: Final answer
    x = 227,577.78

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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.