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Finding the Fourth Proportional to 354,807.60, 532,362.60 and 186,457.20

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Solution

The fourth proportional to 354,807.60, 532,362.60 and 186,457.20 is: 279,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,807.60 : 532,362.60 = 186,457.20 : x
  2. Step 2: Convert to fraction form
    354,807.60/532,362.60 = 186,457.20/x
  3. Step 3: Cross multiply
    354,807.60x = 532,362.60 × 186,457.20
  4. Step 4: Simplify right side
    354,807.60x = 99,262,839,780.72
  5. Step 5: Solve for x
    x = 99,262,839,780.72/354,807.60
  6. Step 6: Final answer
    x = 279,765.26

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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.