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Finding the Fourth Proportional to 569,015.29, 785,231.94 and 310,886.70

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Solution

The fourth proportional to 569,015.29, 785,231.94 and 310,886.70 is: 429,018.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,015.29 : 785,231.94 = 310,886.70 : x
  2. Step 2: Convert to fraction form
    569,015.29/785,231.94 = 310,886.70/x
  3. Step 3: Cross multiply
    569,015.29x = 785,231.94 × 310,886.70
  4. Step 4: Simplify right side
    569,015.29x = 244,118,166,561.20
  5. Step 5: Solve for x
    x = 244,118,166,561.20/569,015.29
  6. Step 6: Final answer
    x = 429,018.64

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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.