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Finding the Fourth Proportional to 257,296.40, 355,069.02 and 156,694.40

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Solution

The fourth proportional to 257,296.40, 355,069.02 and 156,694.40 is: 216,238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,296.40 : 355,069.02 = 156,694.40 : x
  2. Step 2: Convert to fraction form
    257,296.40/355,069.02 = 156,694.40/x
  3. Step 3: Cross multiply
    257,296.40x = 355,069.02 × 156,694.40
  4. Step 4: Simplify right side
    257,296.40x = 55,637,327,047.49
  5. Step 5: Solve for x
    x = 55,637,327,047.49/257,296.40
  6. Step 6: Final answer
    x = 216,238.26

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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.