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Finding the Fourth Proportional to 570,162.81, 786,824.98 and 312,039.60

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Solution

The fourth proportional to 570,162.81, 786,824.98 and 312,039.60 is: 430,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,162.81 : 786,824.98 = 312,039.60 : x
  2. Step 2: Convert to fraction form
    570,162.81/786,824.98 = 312,039.60/x
  3. Step 3: Cross multiply
    570,162.81x = 786,824.98 × 312,039.60
  4. Step 4: Simplify right side
    570,162.81x = 245,520,553,996.27
  5. Step 5: Solve for x
    x = 245,520,553,996.27/570,162.81
  6. Step 6: Final answer
    x = 430,614.82

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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.