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Finding the Fourth Proportional to 257,430.78, 355,254.60 and 156,828.78

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Solution

The fourth proportional to 257,430.78, 355,254.60 and 156,828.78 is: 216,423.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,430.78 : 355,254.60 = 156,828.78 : x
  2. Step 2: Convert to fraction form
    257,430.78/355,254.60 = 156,828.78/x
  3. Step 3: Cross multiply
    257,430.78x = 355,254.60 × 156,828.78
  4. Step 4: Simplify right side
    257,430.78x = 55,714,145,507.39
  5. Step 5: Solve for x
    x = 55,714,145,507.39/257,430.78
  6. Step 6: Final answer
    x = 216,423.79

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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.