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Finding the Fourth Proportional to 419,001.59, 578,221.13 and 228,014.93

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Solution

The fourth proportional to 419,001.59, 578,221.13 and 228,014.93 is: 314,660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,001.59 : 578,221.13 = 228,014.93 : x
  2. Step 2: Convert to fraction form
    419,001.59/578,221.13 = 228,014.93/x
  3. Step 3: Cross multiply
    419,001.59x = 578,221.13 × 228,014.93
  4. Step 4: Simplify right side
    419,001.59x = 131,843,049,341.40
  5. Step 5: Solve for x
    x = 131,843,049,341.40/419,001.59
  6. Step 6: Final answer
    x = 314,660.02

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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.