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Finding the Fourth Proportional to 517,780.12, 776,758.74 and 237,321.40

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Solution

The fourth proportional to 517,780.12, 776,758.74 and 237,321.40 is: 356,022.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,780.12 : 776,758.74 = 237,321.40 : x
  2. Step 2: Convert to fraction form
    517,780.12/776,758.74 = 237,321.40/x
  3. Step 3: Cross multiply
    517,780.12x = 776,758.74 × 237,321.40
  4. Step 4: Simplify right side
    517,780.12x = 184,341,471,639.04
  5. Step 5: Solve for x
    x = 184,341,471,639.04/517,780.12
  6. Step 6: Final answer
    x = 356,022.69

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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.