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Finding the Fourth Proportional to 386,416, 533,153.16 and 223,032.52

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Solution

The fourth proportional to 386,416, 533,153.16 and 223,032.52 is: 307,726.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,416 : 533,153.16 = 223,032.52 : x
  2. Step 2: Convert to fraction form
    386,416/533,153.16 = 223,032.52/x
  3. Step 3: Cross multiply
    386,416x = 533,153.16 × 223,032.52
  4. Step 4: Simplify right side
    386,416x = 118,910,492,820.76
  5. Step 5: Solve for x
    x = 118,910,492,820.76/386,416
  6. Step 6: Final answer
    x = 307,726.63

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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.