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Finding the Fourth Proportional to 370,005.53, 510,706.31 and 208,954.85

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Solution

The fourth proportional to 370,005.53, 510,706.31 and 208,954.85 is: 288,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,005.53 : 510,706.31 = 208,954.85 : x
  2. Step 2: Convert to fraction form
    370,005.53/510,706.31 = 208,954.85/x
  3. Step 3: Cross multiply
    370,005.53x = 510,706.31 × 208,954.85
  4. Step 4: Simplify right side
    370,005.53x = 106,714,556,801.80
  5. Step 5: Solve for x
    x = 106,714,556,801.80/370,005.53
  6. Step 6: Final answer
    x = 288,413.41

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1.5x scale

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.