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Finding the Fourth Proportional to 456,861, 685,291.50 and 124,437

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Solution

The fourth proportional to 456,861, 685,291.50 and 124,437 is: 186,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,861 : 685,291.50 = 124,437 : x
  2. Step 2: Convert to fraction form
    456,861/685,291.50 = 124,437/x
  3. Step 3: Cross multiply
    456,861x = 685,291.50 × 124,437
  4. Step 4: Simplify right side
    456,861x = 85,275,618,385.50
  5. Step 5: Solve for x
    x = 85,275,618,385.50/456,861
  6. Step 6: Final answer
    x = 186,655.50

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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.