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Finding the Fourth Proportional to 419,038.54, 578,262.08 and 228,047.84

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Solution

The fourth proportional to 419,038.54, 578,262.08 and 228,047.84 is: 314,699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,038.54 : 578,262.08 = 228,047.84 : x
  2. Step 2: Convert to fraction form
    419,038.54/578,262.08 = 228,047.84/x
  3. Step 3: Cross multiply
    419,038.54x = 578,262.08 × 228,047.84
  4. Step 4: Simplify right side
    419,038.54x = 131,871,418,297.91
  5. Step 5: Solve for x
    x = 131,871,418,297.91/419,038.54
  6. Step 6: Final answer
    x = 314,699.98

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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.