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Finding the Fourth Proportional to 315,974.56, 474,156.30 and 286,445.20

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Solution

The fourth proportional to 315,974.56, 474,156.30 and 286,445.20 is: 429,844.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,974.56 : 474,156.30 = 286,445.20 : x
  2. Step 2: Convert to fraction form
    315,974.56/474,156.30 = 286,445.20/x
  3. Step 3: Cross multiply
    315,974.56x = 474,156.30 × 286,445.20
  4. Step 4: Simplify right side
    315,974.56x = 135,819,796,184.76
  5. Step 5: Solve for x
    x = 135,819,796,184.76/315,974.56
  6. Step 6: Final answer
    x = 429,844.09

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1.5x scale

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.