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Finding the Fourth Proportional to 418,584.58, 628,156.05 and 152,345.02

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Solution

The fourth proportional to 418,584.58, 628,156.05 and 152,345.02 is: 228,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,584.58 : 628,156.05 = 152,345.02 : x
  2. Step 2: Convert to fraction form
    418,584.58/628,156.05 = 152,345.02/x
  3. Step 3: Cross multiply
    418,584.58x = 628,156.05 × 152,345.02
  4. Step 4: Simplify right side
    418,584.58x = 95,696,446,000.37
  5. Step 5: Solve for x
    x = 95,696,446,000.37/418,584.58
  6. Step 6: Final answer
    x = 228,619.14

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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.