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Finding the Fourth Proportional to 569,171.24, 785,458.74 and 311,053.32

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Solution

The fourth proportional to 569,171.24, 785,458.74 and 311,053.32 is: 429,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,171.24 : 785,458.74 = 311,053.32 : x
  2. Step 2: Convert to fraction form
    569,171.24/785,458.74 = 311,053.32/x
  3. Step 3: Cross multiply
    569,171.24x = 785,458.74 × 311,053.32
  4. Step 4: Simplify right side
    569,171.24x = 244,319,548,800.02
  5. Step 5: Solve for x
    x = 244,319,548,800.02/569,171.24
  6. Step 6: Final answer
    x = 429,254.91

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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.