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Finding the Fourth Proportional to 565,828.74, 780,828.05 and 311,180.13

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Solution

The fourth proportional to 565,828.74, 780,828.05 and 311,180.13 is: 429,420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,828.74 : 780,828.05 = 311,180.13 : x
  2. Step 2: Convert to fraction form
    565,828.74/780,828.05 = 311,180.13/x
  3. Step 3: Cross multiply
    565,828.74x = 780,828.05 × 311,180.13
  4. Step 4: Simplify right side
    565,828.74x = 242,978,174,884.60
  5. Step 5: Solve for x
    x = 242,978,174,884.60/565,828.74
  6. Step 6: Final answer
    x = 429,420.00

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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.