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Finding the Fourth Proportional to 565,699.04, 780,684.72 and 311,069.60

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Solution

The fourth proportional to 565,699.04, 780,684.72 and 311,069.60 is: 429,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,699.04 : 780,684.72 = 311,069.60 : x
  2. Step 2: Convert to fraction form
    565,699.04/780,684.72 = 311,069.60/x
  3. Step 3: Cross multiply
    565,699.04x = 780,684.72 × 311,069.60
  4. Step 4: Simplify right side
    565,699.04x = 242,847,283,576.51
  5. Step 5: Solve for x
    x = 242,847,283,576.51/565,699.04
  6. Step 6: Final answer
    x = 429,287.07

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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.