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Finding the Fourth Proportional to 570,294.12, 786,996.36 and 315,639.84

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Solution

The fourth proportional to 570,294.12, 786,996.36 and 315,639.84 is: 435,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,294.12 : 786,996.36 = 315,639.84 : x
  2. Step 2: Convert to fraction form
    570,294.12/786,996.36 = 315,639.84/x
  3. Step 3: Cross multiply
    570,294.12x = 786,996.36 × 315,639.84
  4. Step 4: Simplify right side
    570,294.12x = 248,407,405,150.98
  5. Step 5: Solve for x
    x = 248,407,405,150.98/570,294.12
  6. Step 6: Final answer
    x = 435,577.71

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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.