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Finding the Fourth Proportional to 565,513.05, 780,388.20 and 310,862.40

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Solution

The fourth proportional to 565,513.05, 780,388.20 and 310,862.40 is: 428,979.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,513.05 : 780,388.20 = 310,862.40 : x
  2. Step 2: Convert to fraction form
    565,513.05/780,388.20 = 310,862.40/x
  3. Step 3: Cross multiply
    565,513.05x = 780,388.20 × 310,862.40
  4. Step 4: Simplify right side
    565,513.05x = 242,593,348,783.68
  5. Step 5: Solve for x
    x = 242,593,348,783.68/565,513.05
  6. Step 6: Final answer
    x = 428,979.22

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1.5x scale

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.