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Finding the Fourth Proportional to 506,176, 698,462.24 and 279,790.72

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Solution

The fourth proportional to 506,176, 698,462.24 and 279,790.72 is: 386,077.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,176 : 698,462.24 = 279,790.72 : x
  2. Step 2: Convert to fraction form
    506,176/698,462.24 = 279,790.72/x
  3. Step 3: Cross multiply
    506,176x = 698,462.24 × 279,790.72
  4. Step 4: Simplify right side
    506,176x = 195,423,253,022.41
  5. Step 5: Solve for x
    x = 195,423,253,022.41/506,176
  6. Step 6: Final answer
    x = 386,077.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.