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Finding the Fourth Proportional to 506,008.62, 698,268.90 and 312,502.86

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Solution

The fourth proportional to 506,008.62, 698,268.90 and 312,502.86 is: 431,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,008.62 : 698,268.90 = 312,502.86 : x
  2. Step 2: Convert to fraction form
    506,008.62/698,268.90 = 312,502.86/x
  3. Step 3: Cross multiply
    506,008.62x = 698,268.90 × 312,502.86
  4. Step 4: Simplify right side
    506,008.62x = 218,211,028,299.05
  5. Step 5: Solve for x
    x = 218,211,028,299.05/506,008.62
  6. Step 6: Final answer
    x = 431,239.75

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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.