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Finding the Fourth Proportional to 456,437.85, 684,693.78 and 156,918.67

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Solution

The fourth proportional to 456,437.85, 684,693.78 and 156,918.67 is: 235,390.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,437.85 : 684,693.78 = 156,918.67 : x
  2. Step 2: Convert to fraction form
    456,437.85/684,693.78 = 156,918.67/x
  3. Step 3: Cross multiply
    456,437.85x = 684,693.78 × 156,918.67
  4. Step 4: Simplify right side
    456,437.85x = 107,441,237,314.87
  5. Step 5: Solve for x
    x = 107,441,237,314.87/456,437.85
  6. Step 6: Final answer
    x = 235,390.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.