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Finding the Fourth Proportional to 316,251.72, 474,533.40 and 147,783.66

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Solution

The fourth proportional to 316,251.72, 474,533.40 and 147,783.66 is: 221,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,251.72 : 474,533.40 = 147,783.66 : x
  2. Step 2: Convert to fraction form
    316,251.72/474,533.40 = 147,783.66/x
  3. Step 3: Cross multiply
    316,251.72x = 474,533.40 × 147,783.66
  4. Step 4: Simplify right side
    316,251.72x = 70,128,282,644.24
  5. Step 5: Solve for x
    x = 70,128,282,644.24/316,251.72
  6. Step 6: Final answer
    x = 221,748.30

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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.