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Finding the Fourth Proportional to 289,948.83, 434,818.94 and 100,357.70

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Solution

The fourth proportional to 289,948.83, 434,818.94 and 100,357.70 is: 150,500.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,948.83 : 434,818.94 = 100,357.70 : x
  2. Step 2: Convert to fraction form
    289,948.83/434,818.94 = 100,357.70/x
  3. Step 3: Cross multiply
    289,948.83x = 434,818.94 × 100,357.70
  4. Step 4: Simplify right side
    289,948.83x = 43,637,426,058.95
  5. Step 5: Solve for x
    x = 43,637,426,058.95/289,948.83
  6. Step 6: Final answer
    x = 150,500.44

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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.