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Finding the Fourth Proportional to 506,109.69, 698,407.25 and 276,678.81

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Solution

The fourth proportional to 506,109.69, 698,407.25 and 276,678.81 is: 381,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,109.69 : 698,407.25 = 276,678.81 : x
  2. Step 2: Convert to fraction form
    506,109.69/698,407.25 = 276,678.81/x
  3. Step 3: Cross multiply
    506,109.69x = 698,407.25 × 276,678.81
  4. Step 4: Simplify right side
    506,109.69x = 193,234,485,441.98
  5. Step 5: Solve for x
    x = 193,234,485,441.98/506,109.69
  6. Step 6: Final answer
    x = 381,803.57

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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.