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Finding the Fourth Proportional to 257,352, 355,159.92 and 142,628.26

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Solution

The fourth proportional to 257,352, 355,159.92 and 142,628.26 is: 196,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,352 : 355,159.92 = 142,628.26 : x
  2. Step 2: Convert to fraction form
    257,352/355,159.92 = 142,628.26/x
  3. Step 3: Cross multiply
    257,352x = 355,159.92 × 142,628.26
  4. Step 4: Simplify right side
    257,352x = 50,655,841,411.34
  5. Step 5: Solve for x
    x = 50,655,841,411.34/257,352
  6. Step 6: Final answer
    x = 196,834.85

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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.