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Finding the Fourth Proportional to 472,147.02, 708,219.54 and 147,960

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Solution

The fourth proportional to 472,147.02, 708,219.54 and 147,960 is: 221,939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,147.02 : 708,219.54 = 147,960 : x
  2. Step 2: Convert to fraction form
    472,147.02/708,219.54 = 147,960/x
  3. Step 3: Cross multiply
    472,147.02x = 708,219.54 × 147,960
  4. Step 4: Simplify right side
    472,147.02x = 104,788,163,138.40
  5. Step 5: Solve for x
    x = 104,788,163,138.40/472,147.02
  6. Step 6: Final answer
    x = 221,939.69

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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.