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Finding the Fourth Proportional to 257,713.34, 355,643.34 and 144,536.18

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Solution

The fourth proportional to 257,713.34, 355,643.34 and 144,536.18 is: 199,459.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,713.34 : 355,643.34 = 144,536.18 : x
  2. Step 2: Convert to fraction form
    257,713.34/355,643.34 = 144,536.18/x
  3. Step 3: Cross multiply
    257,713.34x = 355,643.34 × 144,536.18
  4. Step 4: Simplify right side
    257,713.34x = 51,403,329,806.04
  5. Step 5: Solve for x
    x = 51,403,329,806.04/257,713.34
  6. Step 6: Final answer
    x = 199,459.33

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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.