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Finding the Fourth Proportional to 569,161.86, 785,454.63 and 311,054.79

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Solution

The fourth proportional to 569,161.86, 785,454.63 and 311,054.79 is: 429,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,161.86 : 785,454.63 = 311,054.79 : x
  2. Step 2: Convert to fraction form
    569,161.86/785,454.63 = 311,054.79/x
  3. Step 3: Cross multiply
    569,161.86x = 785,454.63 × 311,054.79
  4. Step 4: Simplify right side
    569,161.86x = 244,319,424,989.18
  5. Step 5: Solve for x
    x = 244,319,424,989.18/569,161.86
  6. Step 6: Final answer
    x = 429,261.77

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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.