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Finding the Fourth Proportional to 370,051.20, 510,672.48 and 208,912.80

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Solution

The fourth proportional to 370,051.20, 510,672.48 and 208,912.80 is: 288,300.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,051.20 : 510,672.48 = 208,912.80 : x
  2. Step 2: Convert to fraction form
    370,051.20/510,672.48 = 208,912.80/x
  3. Step 3: Cross multiply
    370,051.20x = 510,672.48 × 208,912.80
  4. Step 4: Simplify right side
    370,051.20x = 106,686,017,679.74
  5. Step 5: Solve for x
    x = 106,686,017,679.74/370,051.20
  6. Step 6: Final answer
    x = 288,300.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.