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Finding the Fourth Proportional to 291,012.64, 435,707.91 and 148,551.46

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Solution

The fourth proportional to 291,012.64, 435,707.91 and 148,551.46 is: 222,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,012.64 : 435,707.91 = 148,551.46 : x
  2. Step 2: Convert to fraction form
    291,012.64/435,707.91 = 148,551.46/x
  3. Step 3: Cross multiply
    291,012.64x = 435,707.91 × 148,551.46
  4. Step 4: Simplify right side
    291,012.64x = 64,725,045,074.78
  5. Step 5: Solve for x
    x = 64,725,045,074.78/291,012.64
  6. Step 6: Final answer
    x = 222,413.18

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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.