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Finding the Fourth Proportional to 564,725.76, 779,334.12 and 310,077.96

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Solution

The fourth proportional to 564,725.76, 779,334.12 and 310,077.96 is: 427,914.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,725.76 : 779,334.12 = 310,077.96 : x
  2. Step 2: Convert to fraction form
    564,725.76/779,334.12 = 310,077.96/x
  3. Step 3: Cross multiply
    564,725.76x = 779,334.12 × 310,077.96
  4. Step 4: Simplify right side
    564,725.76x = 241,654,334,088.00
  5. Step 5: Solve for x
    x = 241,654,334,088.00/564,725.76
  6. Step 6: Final answer
    x = 427,914.49

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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.