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Finding the Fourth Proportional to 519,384.16, 779,017.92 and 145,436.32

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Solution

The fourth proportional to 519,384.16, 779,017.92 and 145,436.32 is: 218,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,384.16 : 779,017.92 = 145,436.32 : x
  2. Step 2: Convert to fraction form
    519,384.16/779,017.92 = 145,436.32/x
  3. Step 3: Cross multiply
    519,384.16x = 779,017.92 × 145,436.32
  4. Step 4: Simplify right side
    519,384.16x = 113,297,499,498.85
  5. Step 5: Solve for x
    x = 113,297,499,498.85/519,384.16
  6. Step 6: Final answer
    x = 218,138.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.