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Finding the Fourth Proportional to 565,767.08, 780,764.10 and 311,120

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Solution

The fourth proportional to 565,767.08, 780,764.10 and 311,120 is: 429,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,767.08 : 780,764.10 = 311,120 : x
  2. Step 2: Convert to fraction form
    565,767.08/780,764.10 = 311,120/x
  3. Step 3: Cross multiply
    565,767.08x = 780,764.10 × 311,120
  4. Step 4: Simplify right side
    565,767.08x = 242,911,326,792
  5. Step 5: Solve for x
    x = 242,911,326,792/565,767.08
  6. Step 6: Final answer
    x = 429,348.64

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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.