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Finding the Fourth Proportional to 257,541.22, 385,813.65 and 144,879.10

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Solution

The fourth proportional to 257,541.22, 385,813.65 and 144,879.10 is: 217,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,541.22 : 385,813.65 = 144,879.10 : x
  2. Step 2: Convert to fraction form
    257,541.22/385,813.65 = 144,879.10/x
  3. Step 3: Cross multiply
    257,541.22x = 385,813.65 × 144,879.10
  4. Step 4: Simplify right side
    257,541.22x = 55,896,334,379.72
  5. Step 5: Solve for x
    x = 55,896,334,379.72/257,541.22
  6. Step 6: Final answer
    x = 217,038.40

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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.