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Finding the Fourth Proportional to 315,235.40, 472,848.50 and 146,661.44

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Solution

The fourth proportional to 315,235.40, 472,848.50 and 146,661.44 is: 219,990.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,235.40 : 472,848.50 = 146,661.44 : x
  2. Step 2: Convert to fraction form
    315,235.40/472,848.50 = 146,661.44/x
  3. Step 3: Cross multiply
    315,235.40x = 472,848.50 × 146,661.44
  4. Step 4: Simplify right side
    315,235.40x = 69,348,639,914.25
  5. Step 5: Solve for x
    x = 69,348,639,914.25/315,235.40
  6. Step 6: Final answer
    x = 219,990.02

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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.