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Finding the Fourth Proportional to 302,036.45, 453,044.21 and 77,398.74

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Solution

The fourth proportional to 302,036.45, 453,044.21 and 77,398.74 is: 116,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,036.45 : 453,044.21 = 77,398.74 : x
  2. Step 2: Convert to fraction form
    302,036.45/453,044.21 = 77,398.74/x
  3. Step 3: Cross multiply
    302,036.45x = 453,044.21 × 77,398.74
  4. Step 4: Simplify right side
    302,036.45x = 35,065,050,631.30
  5. Step 5: Solve for x
    x = 35,065,050,631.30/302,036.45
  6. Step 6: Final answer
    x = 116,095.43

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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.