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Finding the Fourth Proportional to 287,289.60, 430,934.40 and 100,276.80

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Solution

The fourth proportional to 287,289.60, 430,934.40 and 100,276.80 is: 150,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,289.60 : 430,934.40 = 100,276.80 : x
  2. Step 2: Convert to fraction form
    287,289.60/430,934.40 = 100,276.80/x
  3. Step 3: Cross multiply
    287,289.60x = 430,934.40 × 100,276.80
  4. Step 4: Simplify right side
    287,289.60x = 43,212,722,641.92
  5. Step 5: Solve for x
    x = 43,212,722,641.92/287,289.60
  6. Step 6: Final answer
    x = 150,415.20

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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.