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Finding the Fourth Proportional to 419,115.96, 578,392.65 and 258,063.93

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Solution

The fourth proportional to 419,115.96, 578,392.65 and 258,063.93 is: 356,136.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,115.96 : 578,392.65 = 258,063.93 : x
  2. Step 2: Convert to fraction form
    419,115.96/578,392.65 = 258,063.93/x
  3. Step 3: Cross multiply
    419,115.96x = 578,392.65 × 258,063.93
  4. Step 4: Simplify right side
    419,115.96x = 149,262,280,342.12
  5. Step 5: Solve for x
    x = 149,262,280,342.12/419,115.96
  6. Step 6: Final answer
    x = 356,136.00

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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.