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Finding the Fourth Proportional to 386,407, 533,140.74 and 223,023.52

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Solution

The fourth proportional to 386,407, 533,140.74 and 223,023.52 is: 307,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,407 : 533,140.74 = 223,023.52 : x
  2. Step 2: Convert to fraction form
    386,407/533,140.74 = 223,023.52/x
  3. Step 3: Cross multiply
    386,407x = 533,140.74 × 223,023.52
  4. Step 4: Simplify right side
    386,407x = 118,902,924,490.21
  5. Step 5: Solve for x
    x = 118,902,924,490.21/386,407
  6. Step 6: Final answer
    x = 307,714.21

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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.