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Finding the Fourth Proportional to 257,415.96, 354,840.25 and 180,719.90

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Solution

The fourth proportional to 257,415.96, 354,840.25 and 180,719.90 is: 249,117.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,415.96 : 354,840.25 = 180,719.90 : x
  2. Step 2: Convert to fraction form
    257,415.96/354,840.25 = 180,719.90/x
  3. Step 3: Cross multiply
    257,415.96x = 354,840.25 × 180,719.90
  4. Step 4: Simplify right side
    257,415.96x = 64,126,691,818.17
  5. Step 5: Solve for x
    x = 64,126,691,818.17/257,415.96
  6. Step 6: Final answer
    x = 249,117.00

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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.