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Finding the Fourth Proportional to 257,409.34, 355,225 and 156,807.34

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Solution

The fourth proportional to 257,409.34, 355,225 and 156,807.34 is: 216,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,409.34 : 355,225 = 156,807.34 : x
  2. Step 2: Convert to fraction form
    257,409.34/355,225 = 156,807.34/x
  3. Step 3: Cross multiply
    257,409.34x = 355,225 × 156,807.34
  4. Step 4: Simplify right side
    257,409.34x = 55,701,887,351.50
  5. Step 5: Solve for x
    x = 55,701,887,351.50/257,409.34
  6. Step 6: Final answer
    x = 216,394.20

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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.