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Finding the Fourth Proportional to 569,406.12, 785,753.30 and 311,296.38

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Solution

The fourth proportional to 569,406.12, 785,753.30 and 311,296.38 is: 429,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,406.12 : 785,753.30 = 311,296.38 : x
  2. Step 2: Convert to fraction form
    569,406.12/785,753.30 = 311,296.38/x
  3. Step 3: Cross multiply
    569,406.12x = 785,753.30 × 311,296.38
  4. Step 4: Simplify right side
    569,406.12x = 244,602,157,863.05
  5. Step 5: Solve for x
    x = 244,602,157,863.05/569,406.12
  6. Step 6: Final answer
    x = 429,574.16

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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.