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Finding the Fourth Proportional to 565,889.68, 780,950.04 and 311,264.56

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Solution

The fourth proportional to 565,889.68, 780,950.04 and 311,264.56 is: 429,557.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,889.68 : 780,950.04 = 311,264.56 : x
  2. Step 2: Convert to fraction form
    565,889.68/780,950.04 = 311,264.56/x
  3. Step 3: Cross multiply
    565,889.68x = 780,950.04 × 311,264.56
  4. Step 4: Simplify right side
    565,889.68x = 243,082,070,582.58
  5. Step 5: Solve for x
    x = 243,082,070,582.58/565,889.68
  6. Step 6: Final answer
    x = 429,557.35

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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.