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Finding the Fourth Proportional to 280,141.60, 419,920.80 and 153,587.20

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Solution

The fourth proportional to 280,141.60, 419,920.80 and 153,587.20 is: 230,220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,141.60 : 419,920.80 = 153,587.20 : x
  2. Step 2: Convert to fraction form
    280,141.60/419,920.80 = 153,587.20/x
  3. Step 3: Cross multiply
    280,141.60x = 419,920.80 × 153,587.20
  4. Step 4: Simplify right side
    280,141.60x = 64,494,459,893.76
  5. Step 5: Solve for x
    x = 64,494,459,893.76/280,141.60
  6. Step 6: Final answer
    x = 230,220.93

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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.