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Finding the Fourth Proportional to 390,784.46, 586,268.82 and 311,123.58

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Solution

The fourth proportional to 390,784.46, 586,268.82 and 311,123.58 is: 466,758.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,784.46 : 586,268.82 = 311,123.58 : x
  2. Step 2: Convert to fraction form
    390,784.46/586,268.82 = 311,123.58/x
  3. Step 3: Cross multiply
    390,784.46x = 586,268.82 × 311,123.58
  4. Step 4: Simplify right side
    390,784.46x = 182,402,054,120.78
  5. Step 5: Solve for x
    x = 182,402,054,120.78/390,784.46
  6. Step 6: Final answer
    x = 466,758.72

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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.