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Finding the Fourth Proportional to 614,349.86, 847,806.74 and 342,435

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Solution

The fourth proportional to 614,349.86, 847,806.74 and 342,435 is: 472,562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,349.86 : 847,806.74 = 342,435 : x
  2. Step 2: Convert to fraction form
    614,349.86/847,806.74 = 342,435/x
  3. Step 3: Cross multiply
    614,349.86x = 847,806.74 × 342,435
  4. Step 4: Simplify right side
    614,349.86x = 290,318,699,299.73
  5. Step 5: Solve for x
    x = 290,318,699,299.73/614,349.86
  6. Step 6: Final answer
    x = 472,562.49

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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.