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Finding the Fourth Proportional to 256,424.07, 384,652.52 and 98,652.52

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Solution

The fourth proportional to 256,424.07, 384,652.52 and 98,652.52 is: 147,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,424.07 : 384,652.52 = 98,652.52 : x
  2. Step 2: Convert to fraction form
    256,424.07/384,652.52 = 98,652.52/x
  3. Step 3: Cross multiply
    256,424.07x = 384,652.52 × 98,652.52
  4. Step 4: Simplify right side
    256,424.07x = 37,946,940,779.85
  5. Step 5: Solve for x
    x = 37,946,940,779.85/256,424.07
  6. Step 6: Final answer
    x = 147,985.10

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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.