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Finding the Fourth Proportional to 357,439.68, 535,954.56 and 146,904

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Solution

The fourth proportional to 357,439.68, 535,954.56 and 146,904 is: 220,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,439.68 : 535,954.56 = 146,904 : x
  2. Step 2: Convert to fraction form
    357,439.68/535,954.56 = 146,904/x
  3. Step 3: Cross multiply
    357,439.68x = 535,954.56 × 146,904
  4. Step 4: Simplify right side
    357,439.68x = 78,733,868,682.24
  5. Step 5: Solve for x
    x = 78,733,868,682.24/357,439.68
  6. Step 6: Final answer
    x = 220,271.76

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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.