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Finding the Fourth Proportional to 569,330.95, 785,693.42 and 311,222.16

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Solution

The fourth proportional to 569,330.95, 785,693.42 and 311,222.16 is: 429,495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,330.95 : 785,693.42 = 311,222.16 : x
  2. Step 2: Convert to fraction form
    569,330.95/785,693.42 = 311,222.16/x
  3. Step 3: Cross multiply
    569,330.95x = 785,693.42 × 311,222.16
  4. Step 4: Simplify right side
    569,330.95x = 244,525,203,270.19
  5. Step 5: Solve for x
    x = 244,525,203,270.19/569,330.95
  6. Step 6: Final answer
    x = 429,495.71

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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.