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Finding the Fourth Proportional to 565,623.81, 780,563.79 and 310,991.40

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Solution

The fourth proportional to 565,623.81, 780,563.79 and 310,991.40 is: 429,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,623.81 : 780,563.79 = 310,991.40 : x
  2. Step 2: Convert to fraction form
    565,623.81/780,563.79 = 310,991.40/x
  3. Step 3: Cross multiply
    565,623.81x = 780,563.79 × 310,991.40
  4. Step 4: Simplify right side
    565,623.81x = 242,748,625,841.41
  5. Step 5: Solve for x
    x = 242,748,625,841.41/565,623.81
  6. Step 6: Final answer
    x = 429,169.74

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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.