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Finding the Fourth Proportional to 280,025.80, 420,038.70 and 146,854.60

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Solution

The fourth proportional to 280,025.80, 420,038.70 and 146,854.60 is: 220,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,025.80 : 420,038.70 = 146,854.60 : x
  2. Step 2: Convert to fraction form
    280,025.80/420,038.70 = 146,854.60/x
  3. Step 3: Cross multiply
    280,025.80x = 420,038.70 × 146,854.60
  4. Step 4: Simplify right side
    280,025.80x = 61,684,615,273.02
  5. Step 5: Solve for x
    x = 61,684,615,273.02/280,025.80
  6. Step 6: Final answer
    x = 220,281.90

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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.