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Finding the Fourth Proportional to 538,981,624.78, 808,536,978.95 and 165,440,582.23

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Solution

The fourth proportional to 538,981,624.78, 808,536,978.95 and 165,440,582.23 is: 248,180,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,981,624.78 : 808,536,978.95 = 165,440,582.23 : x
  2. Step 2: Convert to fraction form
    538,981,624.78/808,536,978.95 = 165,440,582.23/x
  3. Step 3: Cross multiply
    538,981,624.78x = 808,536,978.95 × 165,440,582.23
  4. Step 4: Simplify right side
    538,981,624.78x = 133,764,828,551,973,248
  5. Step 5: Solve for x
    x = 133,764,828,551,973,248/538,981,624.78
  6. Step 6: Final answer
    x = 248,180,684.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.