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Finding the Fourth Proportional to 565,830.74, 780,830.82 and 311,182.14

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Solution

The fourth proportional to 565,830.74, 780,830.82 and 311,182.14 is: 429,422.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,830.74 : 780,830.82 = 311,182.14 : x
  2. Step 2: Convert to fraction form
    565,830.74/780,830.82 = 311,182.14/x
  3. Step 3: Cross multiply
    565,830.74x = 780,830.82 × 311,182.14
  4. Step 4: Simplify right side
    565,830.74x = 242,980,605,545.56
  5. Step 5: Solve for x
    x = 242,980,605,545.56/565,830.74
  6. Step 6: Final answer
    x = 429,422.77

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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.