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Finding the Fourth Proportional to 285,151.92, 427,533.46 and 144,639.60

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Solution

The fourth proportional to 285,151.92, 427,533.46 and 144,639.60 is: 216,860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,151.92 : 427,533.46 = 144,639.60 : x
  2. Step 2: Convert to fraction form
    285,151.92/427,533.46 = 144,639.60/x
  3. Step 3: Cross multiply
    285,151.92x = 427,533.46 × 144,639.60
  4. Step 4: Simplify right side
    285,151.92x = 61,838,268,641.02
  5. Step 5: Solve for x
    x = 61,838,268,641.02/285,151.92
  6. Step 6: Final answer
    x = 216,860.78

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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.