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Finding the Fourth Proportional to 419,000.84, 578,220.08 and 228,014.18

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Solution

The fourth proportional to 419,000.84, 578,220.08 and 228,014.18 is: 314,658.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,000.84 : 578,220.08 = 228,014.18 : x
  2. Step 2: Convert to fraction form
    419,000.84/578,220.08 = 228,014.18/x
  3. Step 3: Cross multiply
    419,000.84x = 578,220.08 × 228,014.18
  4. Step 4: Simplify right side
    419,000.84x = 131,842,377,400.73
  5. Step 5: Solve for x
    x = 131,842,377,400.73/419,000.84
  6. Step 6: Final answer
    x = 314,658.98

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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.