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Finding the Fourth Proportional to 419,437.53, 578,823.71 and 228,450.92

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Solution

The fourth proportional to 419,437.53, 578,823.71 and 228,450.92 is: 315,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,437.53 : 578,823.71 = 228,450.92 : x
  2. Step 2: Convert to fraction form
    419,437.53/578,823.71 = 228,450.92/x
  3. Step 3: Cross multiply
    419,437.53x = 578,823.71 × 228,450.92
  4. Step 4: Simplify right side
    419,437.53x = 132,232,805,030.94
  5. Step 5: Solve for x
    x = 132,232,805,030.94/419,437.53
  6. Step 6: Final answer
    x = 315,262.22

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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.