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Finding the Fourth Proportional to 257,978.40, 355,998.21 and 143,264.34

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Solution

The fourth proportional to 257,978.40, 355,998.21 and 143,264.34 is: 197,698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,978.40 : 355,998.21 = 143,264.34 : x
  2. Step 2: Convert to fraction form
    257,978.40/355,998.21 = 143,264.34/x
  3. Step 3: Cross multiply
    257,978.40x = 355,998.21 × 143,264.34
  4. Step 4: Simplify right side
    257,978.40x = 51,001,848,596.83
  5. Step 5: Solve for x
    x = 51,001,848,596.83/257,978.40
  6. Step 6: Final answer
    x = 197,698.14

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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.