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Finding the Fourth Proportional to 315,277.66, 472,903.24 and 146,740.02

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Solution

The fourth proportional to 315,277.66, 472,903.24 and 146,740.02 is: 220,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,277.66 : 472,903.24 = 146,740.02 : x
  2. Step 2: Convert to fraction form
    315,277.66/472,903.24 = 146,740.02/x
  3. Step 3: Cross multiply
    315,277.66x = 472,903.24 × 146,740.02
  4. Step 4: Simplify right side
    315,277.66x = 69,393,830,895.66
  5. Step 5: Solve for x
    x = 69,393,830,895.66/315,277.66
  6. Step 6: Final answer
    x = 220,103.86

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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.