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Finding the Fourth Proportional to 345,664.80, 477,237.60 and 282,153.60

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Solution

The fourth proportional to 345,664.80, 477,237.60 and 282,153.60 is: 389,551.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,664.80 : 477,237.60 = 282,153.60 : x
  2. Step 2: Convert to fraction form
    345,664.80/477,237.60 = 282,153.60/x
  3. Step 3: Cross multiply
    345,664.80x = 477,237.60 × 282,153.60
  4. Step 4: Simplify right side
    345,664.80x = 134,654,306,895.36
  5. Step 5: Solve for x
    x = 134,654,306,895.36/345,664.80
  6. Step 6: Final answer
    x = 389,551.69

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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.