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Finding the Fourth Proportional to 541,442.51, 811,890.38 and 316,870.41

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Solution

The fourth proportional to 541,442.51, 811,890.38 and 316,870.41 is: 475,145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,442.51 : 811,890.38 = 316,870.41 : x
  2. Step 2: Convert to fraction form
    541,442.51/811,890.38 = 316,870.41/x
  3. Step 3: Cross multiply
    541,442.51x = 811,890.38 × 316,870.41
  4. Step 4: Simplify right side
    541,442.51x = 257,264,036,001.30
  5. Step 5: Solve for x
    x = 257,264,036,001.30/541,442.51
  6. Step 6: Final answer
    x = 475,145.62

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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.