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Finding the Fourth Proportional to 386,415, 533,151.78 and 223,031.52

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Solution

The fourth proportional to 386,415, 533,151.78 and 223,031.52 is: 307,725.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,415 : 533,151.78 = 223,031.52 : x
  2. Step 2: Convert to fraction form
    386,415/533,151.78 = 223,031.52/x
  3. Step 3: Cross multiply
    386,415x = 533,151.78 × 223,031.52
  4. Step 4: Simplify right side
    386,415x = 118,909,651,884.11
  5. Step 5: Solve for x
    x = 118,909,651,884.11/386,415
  6. Step 6: Final answer
    x = 307,725.25

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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.