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Finding the Fourth Proportional to 565,909.94, 780,939.43 and 311,261.13

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Solution

The fourth proportional to 565,909.94, 780,939.43 and 311,261.13 is: 429,531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,909.94 : 780,939.43 = 311,261.13 : x
  2. Step 2: Convert to fraction form
    565,909.94/780,939.43 = 311,261.13/x
  3. Step 3: Cross multiply
    565,909.94x = 780,939.43 × 311,261.13
  4. Step 4: Simplify right side
    565,909.94x = 243,076,088,665.20
  5. Step 5: Solve for x
    x = 243,076,088,665.20/565,909.94
  6. Step 6: Final answer
    x = 429,531.40

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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.