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Finding the Fourth Proportional to 565,568.61, 780,499.79 and 307,462.85

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Solution

The fourth proportional to 565,568.61, 780,499.79 and 307,462.85 is: 424,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,568.61 : 780,499.79 = 307,462.85 : x
  2. Step 2: Convert to fraction form
    565,568.61/780,499.79 = 307,462.85/x
  3. Step 3: Cross multiply
    565,568.61x = 780,499.79 × 307,462.85
  4. Step 4: Simplify right side
    565,568.61x = 239,974,684,417.99
  5. Step 5: Solve for x
    x = 239,974,684,417.99/565,568.61
  6. Step 6: Final answer
    x = 424,306.94

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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.