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Finding the Fourth Proportional to 418,990.16, 578,200.78 and 228,003.10

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Solution

The fourth proportional to 418,990.16, 578,200.78 and 228,003.10 is: 314,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,990.16 : 578,200.78 = 228,003.10 : x
  2. Step 2: Convert to fraction form
    418,990.16/578,200.78 = 228,003.10/x
  3. Step 3: Cross multiply
    418,990.16x = 578,200.78 × 228,003.10
  4. Step 4: Simplify right side
    418,990.16x = 131,831,570,262.42
  5. Step 5: Solve for x
    x = 131,831,570,262.42/418,990.16
  6. Step 6: Final answer
    x = 314,641.21

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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.