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Finding the Fourth Proportional to 540,031.40, 809,970.30 and 185,061.80

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Solution

The fourth proportional to 540,031.40, 809,970.30 and 185,061.80 is: 277,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,031.40 : 809,970.30 = 185,061.80 : x
  2. Step 2: Convert to fraction form
    540,031.40/809,970.30 = 185,061.80/x
  3. Step 3: Cross multiply
    540,031.40x = 809,970.30 × 185,061.80
  4. Step 4: Simplify right side
    540,031.40x = 149,894,561,664.54
  5. Step 5: Solve for x
    x = 149,894,561,664.54/540,031.40
  6. Step 6: Final answer
    x = 277,566.38

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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.