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Finding the Fourth Proportional to 358,772.80, 537,928.80 and 148,494.40

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Solution

The fourth proportional to 358,772.80, 537,928.80 and 148,494.40 is: 222,646.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,772.80 : 537,928.80 = 148,494.40 : x
  2. Step 2: Convert to fraction form
    358,772.80/537,928.80 = 148,494.40/x
  3. Step 3: Cross multiply
    358,772.80x = 537,928.80 × 148,494.40
  4. Step 4: Simplify right side
    358,772.80x = 79,879,414,398.72
  5. Step 5: Solve for x
    x = 79,879,414,398.72/358,772.80
  6. Step 6: Final answer
    x = 222,646.24

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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.