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Finding the Fourth Proportional to 289,041.10, 432,905.55 and 148,635.70

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Solution

The fourth proportional to 289,041.10, 432,905.55 and 148,635.70 is: 222,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,041.10 : 432,905.55 = 148,635.70 : x
  2. Step 2: Convert to fraction form
    289,041.10/432,905.55 = 148,635.70/x
  3. Step 3: Cross multiply
    289,041.10x = 432,905.55 × 148,635.70
  4. Step 4: Simplify right side
    289,041.10x = 64,345,219,458.14
  5. Step 5: Solve for x
    x = 64,345,219,458.14/289,041.10
  6. Step 6: Final answer
    x = 222,616.16

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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.