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Finding the Fourth Proportional to 287,783.20, 432,063.60 and 182,807.20

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Solution

The fourth proportional to 287,783.20, 432,063.60 and 182,807.20 is: 274,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,783.20 : 432,063.60 = 182,807.20 : x
  2. Step 2: Convert to fraction form
    287,783.20/432,063.60 = 182,807.20/x
  3. Step 3: Cross multiply
    287,783.20x = 432,063.60 × 182,807.20
  4. Step 4: Simplify right side
    287,783.20x = 78,984,336,937.92
  5. Step 5: Solve for x
    x = 78,984,336,937.92/287,783.20
  6. Step 6: Final answer
    x = 274,457.78

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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.