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Finding the Fourth Proportional to 569,329.16, 785,677.38 and 311,206.52

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Solution

The fourth proportional to 569,329.16, 785,677.38 and 311,206.52 is: 429,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,329.16 : 785,677.38 = 311,206.52 : x
  2. Step 2: Convert to fraction form
    569,329.16/785,677.38 = 311,206.52/x
  3. Step 3: Cross multiply
    569,329.16x = 785,677.38 × 311,206.52
  4. Step 4: Simplify right side
    569,329.16x = 244,507,923,272.52
  5. Step 5: Solve for x
    x = 244,507,923,272.52/569,329.16
  6. Step 6: Final answer
    x = 429,466.71

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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.