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Finding the Fourth Proportional to 419,376.60, 578,746.66 and 228,393.72

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Solution

The fourth proportional to 419,376.60, 578,746.66 and 228,393.72 is: 315,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,376.60 : 578,746.66 = 228,393.72 : x
  2. Step 2: Convert to fraction form
    419,376.60/578,746.66 = 228,393.72/x
  3. Step 3: Cross multiply
    419,376.60x = 578,746.66 × 228,393.72
  4. Step 4: Simplify right side
    419,376.60x = 132,182,102,614.98
  5. Step 5: Solve for x
    x = 132,182,102,614.98/419,376.60
  6. Step 6: Final answer
    x = 315,187.12

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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.