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Finding the Fourth Proportional to 289,781.80, 434,802.30 and 102,927.40

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Solution

The fourth proportional to 289,781.80, 434,802.30 and 102,927.40 is: 154,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,781.80 : 434,802.30 = 102,927.40 : x
  2. Step 2: Convert to fraction form
    289,781.80/434,802.30 = 102,927.40/x
  3. Step 3: Cross multiply
    289,781.80x = 434,802.30 × 102,927.40
  4. Step 4: Simplify right side
    289,781.80x = 44,753,070,253.02
  5. Step 5: Solve for x
    x = 44,753,070,253.02/289,781.80
  6. Step 6: Final answer
    x = 154,437.13

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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.