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Finding the Fourth Proportional to 370,051.90, 510,666.06 and 206,710.66

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Solution

The fourth proportional to 370,051.90, 510,666.06 and 206,710.66 is: 285,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,051.90 : 510,666.06 = 206,710.66 : x
  2. Step 2: Convert to fraction form
    370,051.90/510,666.06 = 206,710.66/x
  3. Step 3: Cross multiply
    370,051.90x = 510,666.06 × 206,710.66
  4. Step 4: Simplify right side
    370,051.90x = 105,560,118,302.20
  5. Step 5: Solve for x
    x = 105,560,118,302.20/370,051.90
  6. Step 6: Final answer
    x = 285,257.60

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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.