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Finding the Fourth Proportional to 370,100.52, 510,762.34 and 208,896.74

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Solution

The fourth proportional to 370,100.52, 510,762.34 and 208,896.74 is: 288,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,100.52 : 510,762.34 = 208,896.74 : x
  2. Step 2: Convert to fraction form
    370,100.52/510,762.34 = 208,896.74/x
  3. Step 3: Cross multiply
    370,100.52x = 510,762.34 × 208,896.74
  4. Step 4: Simplify right side
    370,100.52x = 106,696,587,740.77
  5. Step 5: Solve for x
    x = 106,696,587,740.77/370,100.52
  6. Step 6: Final answer
    x = 288,290.83

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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.