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Finding the Fourth Proportional to 472,085.64, 708,259.86 and 205,869.60

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Solution

The fourth proportional to 472,085.64, 708,259.86 and 205,869.60 is: 308,861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,085.64 : 708,259.86 = 205,869.60 : x
  2. Step 2: Convert to fraction form
    472,085.64/708,259.86 = 205,869.60/x
  3. Step 3: Cross multiply
    472,085.64x = 708,259.86 × 205,869.60
  4. Step 4: Simplify right side
    472,085.64x = 145,809,174,074.26
  5. Step 5: Solve for x
    x = 145,809,174,074.26/472,085.64
  6. Step 6: Final answer
    x = 308,861.70

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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.