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Finding the Fourth Proportional to 565,504.52, 780,397.08 and 310,857.26

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Solution

The fourth proportional to 565,504.52, 780,397.08 and 310,857.26 is: 428,983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,504.52 : 780,397.08 = 310,857.26 : x
  2. Step 2: Convert to fraction form
    565,504.52/780,397.08 = 310,857.26/x
  3. Step 3: Cross multiply
    565,504.52x = 780,397.08 × 310,857.26
  4. Step 4: Simplify right side
    565,504.52x = 242,592,098,000.80
  5. Step 5: Solve for x
    x = 242,592,098,000.80/565,504.52
  6. Step 6: Final answer
    x = 428,983.48

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Double scale
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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.