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Finding the Fourth Proportional to 257,749.68, 355,697.28 and 144,570

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Solution

The fourth proportional to 257,749.68, 355,697.28 and 144,570 is: 199,508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,749.68 : 355,697.28 = 144,570 : x
  2. Step 2: Convert to fraction form
    257,749.68/355,697.28 = 144,570/x
  3. Step 3: Cross multiply
    257,749.68x = 355,697.28 × 144,570
  4. Step 4: Simplify right side
    257,749.68x = 51,423,155,769.60
  5. Step 5: Solve for x
    x = 51,423,155,769.60/257,749.68
  6. Step 6: Final answer
    x = 199,508.13

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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.