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Finding the Fourth Proportional to 383,467.31, 530,141.49 and 287,807.93

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Solution

The fourth proportional to 383,467.31, 530,141.49 and 287,807.93 is: 397,892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,467.31 : 530,141.49 = 287,807.93 : x
  2. Step 2: Convert to fraction form
    383,467.31/530,141.49 = 287,807.93/x
  3. Step 3: Cross multiply
    383,467.31x = 530,141.49 × 287,807.93
  4. Step 4: Simplify right side
    383,467.31x = 152,578,924,844.02
  5. Step 5: Solve for x
    x = 152,578,924,844.02/383,467.31
  6. Step 6: Final answer
    x = 397,892.91

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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.