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Finding the Fourth Proportional to 565,785.06, 780,783.60 and 311,136.18

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Solution

The fourth proportional to 565,785.06, 780,783.60 and 311,136.18 is: 429,368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,785.06 : 780,783.60 = 311,136.18 : x
  2. Step 2: Convert to fraction form
    565,785.06/780,783.60 = 311,136.18/x
  3. Step 3: Cross multiply
    565,785.06x = 780,783.60 × 311,136.18
  4. Step 4: Simplify right side
    565,785.06x = 242,930,026,710.65
  5. Step 5: Solve for x
    x = 242,930,026,710.65/565,785.06
  6. Step 6: Final answer
    x = 429,368.05

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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.