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Finding the Fourth Proportional to 565,744.04, 780,746.82 and 311,114.60

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Solution

The fourth proportional to 565,744.04, 780,746.82 and 311,114.60 is: 429,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,744.04 : 780,746.82 = 311,114.60 : x
  2. Step 2: Convert to fraction form
    565,744.04/780,746.82 = 311,114.60/x
  3. Step 3: Cross multiply
    565,744.04x = 780,746.82 × 311,114.60
  4. Step 4: Simplify right side
    565,744.04x = 242,901,734,605.57
  5. Step 5: Solve for x
    x = 242,901,734,605.57/565,744.04
  6. Step 6: Final answer
    x = 429,349.17

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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.