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Finding the Fourth Proportional to 257,298, 355,071.24 and 144,120.48

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Solution

The fourth proportional to 257,298, 355,071.24 and 144,120.48 is: 198,886.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,298 : 355,071.24 = 144,120.48 : x
  2. Step 2: Convert to fraction form
    257,298/355,071.24 = 144,120.48/x
  3. Step 3: Cross multiply
    257,298x = 355,071.24 × 144,120.48
  4. Step 4: Simplify right side
    257,298x = 51,173,037,543.00
  5. Step 5: Solve for x
    x = 51,173,037,543.00/257,298
  6. Step 6: Final answer
    x = 198,886.26

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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.