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Finding the Fourth Proportional to 289,044.24, 433,574.04 and 78,686.48

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Solution

The fourth proportional to 289,044.24, 433,574.04 and 78,686.48 is: 118,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,044.24 : 433,574.04 = 78,686.48 : x
  2. Step 2: Convert to fraction form
    289,044.24/433,574.04 = 78,686.48/x
  3. Step 3: Cross multiply
    289,044.24x = 433,574.04 × 78,686.48
  4. Step 4: Simplify right side
    289,044.24x = 34,116,415,026.98
  5. Step 5: Solve for x
    x = 34,116,415,026.98/289,044.24
  6. Step 6: Final answer
    x = 118,031.81

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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.