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Finding the Fourth Proportional to 257,146.60, 354,858.34 and 143,973.48

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Solution

The fourth proportional to 257,146.60, 354,858.34 and 143,973.48 is: 198,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,146.60 : 354,858.34 = 143,973.48 : x
  2. Step 2: Convert to fraction form
    257,146.60/354,858.34 = 143,973.48/x
  3. Step 3: Cross multiply
    257,146.60x = 354,858.34 × 143,973.48
  4. Step 4: Simplify right side
    257,146.60x = 51,090,190,116.82
  5. Step 5: Solve for x
    x = 51,090,190,116.82/257,146.60
  6. Step 6: Final answer
    x = 198,681.18

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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.