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Finding the Fourth Proportional to 349,741.60, 524,871.60 and 256,429.60

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Solution

The fourth proportional to 349,741.60, 524,871.60 and 256,429.60 is: 384,834.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,741.60 : 524,871.60 = 256,429.60 : x
  2. Step 2: Convert to fraction form
    349,741.60/524,871.60 = 256,429.60/x
  3. Step 3: Cross multiply
    349,741.60x = 524,871.60 × 256,429.60
  4. Step 4: Simplify right side
    349,741.60x = 134,592,614,439.36
  5. Step 5: Solve for x
    x = 134,592,614,439.36/349,741.60
  6. Step 6: Final answer
    x = 384,834.44

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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.