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Finding the Fourth Proportional to 257,013.36, 354,686.40 and 143,835.84

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Solution

The fourth proportional to 257,013.36, 354,686.40 and 143,835.84 is: 198,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,013.36 : 354,686.40 = 143,835.84 : x
  2. Step 2: Convert to fraction form
    257,013.36/354,686.40 = 143,835.84/x
  3. Step 3: Cross multiply
    257,013.36x = 354,686.40 × 143,835.84
  4. Step 4: Simplify right side
    257,013.36x = 51,016,616,280.58
  5. Step 5: Solve for x
    x = 51,016,616,280.58/257,013.36
  6. Step 6: Final answer
    x = 198,497.92

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1.5x scale

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.