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Finding the Fourth Proportional to 360,686.50, 540,678.15 and 150,384.58

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Solution

The fourth proportional to 360,686.50, 540,678.15 and 150,384.58 is: 225,430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,686.50 : 540,678.15 = 150,384.58 : x
  2. Step 2: Convert to fraction form
    360,686.50/540,678.15 = 150,384.58/x
  3. Step 3: Cross multiply
    360,686.50x = 540,678.15 × 150,384.58
  4. Step 4: Simplify right side
    360,686.50x = 81,309,656,502.93
  5. Step 5: Solve for x
    x = 81,309,656,502.93/360,686.50
  6. Step 6: Final answer
    x = 225,430.27

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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.