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Finding the Fourth Proportional to 257,702.46, 355,647.15 and 144,532.50

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Solution

The fourth proportional to 257,702.46, 355,647.15 and 144,532.50 is: 199,464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,702.46 : 355,647.15 = 144,532.50 : x
  2. Step 2: Convert to fraction form
    257,702.46/355,647.15 = 144,532.50/x
  3. Step 3: Cross multiply
    257,702.46x = 355,647.15 × 144,532.50
  4. Step 4: Simplify right side
    257,702.46x = 51,402,571,707.38
  5. Step 5: Solve for x
    x = 51,402,571,707.38/257,702.46
  6. Step 6: Final answer
    x = 199,464.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.