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Finding the Fourth Proportional to 316,423.74, 474,375.60 and 147,860.76

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Solution

The fourth proportional to 316,423.74, 474,375.60 and 147,860.76 is: 221,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,423.74 : 474,375.60 = 147,860.76 : x
  2. Step 2: Convert to fraction form
    316,423.74/474,375.60 = 147,860.76/x
  3. Step 3: Cross multiply
    316,423.74x = 474,375.60 × 147,860.76
  4. Step 4: Simplify right side
    316,423.74x = 70,141,536,741.46
  5. Step 5: Solve for x
    x = 70,141,536,741.46/316,423.74
  6. Step 6: Final answer
    x = 221,669.64

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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.