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Finding the Fourth Proportional to 331,210, 457,070.88 and 180,308.08

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Solution

The fourth proportional to 331,210, 457,070.88 and 180,308.08 is: 248,825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,210 : 457,070.88 = 180,308.08 : x
  2. Step 2: Convert to fraction form
    331,210/457,070.88 = 180,308.08/x
  3. Step 3: Cross multiply
    331,210x = 457,070.88 × 180,308.08
  4. Step 4: Simplify right side
    331,210x = 82,413,572,796.71
  5. Step 5: Solve for x
    x = 82,413,572,796.71/331,210
  6. Step 6: Final answer
    x = 248,825.74

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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.