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Finding the Fourth Proportional to 304,913.48, 457,442.89 and 105,235.61

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Solution

The fourth proportional to 304,913.48, 457,442.89 and 105,235.61 is: 157,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,913.48 : 457,442.89 = 105,235.61 : x
  2. Step 2: Convert to fraction form
    304,913.48/457,442.89 = 105,235.61/x
  3. Step 3: Cross multiply
    304,913.48x = 457,442.89 × 105,235.61
  4. Step 4: Simplify right side
    304,913.48x = 48,139,279,019.01
  5. Step 5: Solve for x
    x = 48,139,279,019.01/304,913.48
  6. Step 6: Final answer
    x = 157,878.49

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