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Finding the Fourth Proportional to 315,276.66, 472,901.75 and 146,739.02

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Solution

The fourth proportional to 315,276.66, 472,901.75 and 146,739.02 is: 220,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,276.66 : 472,901.75 = 146,739.02 : x
  2. Step 2: Convert to fraction form
    315,276.66/472,901.75 = 146,739.02/x
  3. Step 3: Cross multiply
    315,276.66x = 472,901.75 × 146,739.02
  4. Step 4: Simplify right side
    315,276.66x = 69,393,136,253.08
  5. Step 5: Solve for x
    x = 69,393,136,253.08/315,276.66
  6. Step 6: Final answer
    x = 220,102.36

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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.