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Finding the Fourth Proportional to 281,697.50, 388,741.90 and 152,639.49

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Solution

The fourth proportional to 281,697.50, 388,741.90 and 152,639.49 is: 210,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,697.50 : 388,741.90 = 152,639.49 : x
  2. Step 2: Convert to fraction form
    281,697.50/388,741.90 = 152,639.49/x
  3. Step 3: Cross multiply
    281,697.50x = 388,741.90 × 152,639.49
  4. Step 4: Simplify right side
    281,697.50x = 59,337,365,357.63
  5. Step 5: Solve for x
    x = 59,337,365,357.63/281,697.50
  6. Step 6: Final answer
    x = 210,642.14

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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.