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Finding the Fourth Proportional to 287,165.76, 430,724 and 174,816.82

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Solution

The fourth proportional to 287,165.76, 430,724 and 174,816.82 is: 262,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,165.76 : 430,724 = 174,816.82 : x
  2. Step 2: Convert to fraction form
    287,165.76/430,724 = 174,816.82/x
  3. Step 3: Cross multiply
    287,165.76x = 430,724 × 174,816.82
  4. Step 4: Simplify right side
    287,165.76x = 75,297,799,977.68
  5. Step 5: Solve for x
    x = 75,297,799,977.68/287,165.76
  6. Step 6: Final answer
    x = 262,210.23

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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.