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Finding the Fourth Proportional to 565,743.48, 780,728.78 and 311,111.16

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Solution

The fourth proportional to 565,743.48, 780,728.78 and 311,111.16 is: 429,334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,743.48 : 780,728.78 = 311,111.16 : x
  2. Step 2: Convert to fraction form
    565,743.48/780,728.78 = 311,111.16/x
  3. Step 3: Cross multiply
    565,743.48x = 780,728.78 × 311,111.16
  4. Step 4: Simplify right side
    565,743.48x = 242,893,436,391.19
  5. Step 5: Solve for x
    x = 242,893,436,391.19/565,743.48
  6. Step 6: Final answer
    x = 429,334.93

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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.