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Finding the Fourth Proportional to 456,774.48, 685,945.80 and 280,317.60

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Solution

The fourth proportional to 456,774.48, 685,945.80 and 280,317.60 is: 420,957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,774.48 : 685,945.80 = 280,317.60 : x
  2. Step 2: Convert to fraction form
    456,774.48/685,945.80 = 280,317.60/x
  3. Step 3: Cross multiply
    456,774.48x = 685,945.80 × 280,317.60
  4. Step 4: Simplify right side
    456,774.48x = 192,282,680,386.08
  5. Step 5: Solve for x
    x = 192,282,680,386.08/456,774.48
  6. Step 6: Final answer
    x = 420,957.58

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1.5x scale

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.