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Finding the Fourth Proportional to 565,784.06, 780,782.22 and 311,135.18

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Solution

The fourth proportional to 565,784.06, 780,782.22 and 311,135.18 is: 429,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,784.06 : 780,782.22 = 311,135.18 : x
  2. Step 2: Convert to fraction form
    565,784.06/780,782.22 = 311,135.18/x
  3. Step 3: Cross multiply
    565,784.06x = 780,782.22 × 311,135.18
  4. Step 4: Simplify right side
    565,784.06x = 242,928,812,656.59
  5. Step 5: Solve for x
    x = 242,928,812,656.59/565,784.06
  6. Step 6: Final answer
    x = 429,366.66

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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.