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Finding the Fourth Proportional to 281,269.64, 388,153.12 and 152,208.10

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Solution

The fourth proportional to 281,269.64, 388,153.12 and 152,208.10 is: 210,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,269.64 : 388,153.12 = 152,208.10 : x
  2. Step 2: Convert to fraction form
    281,269.64/388,153.12 = 152,208.10/x
  3. Step 3: Cross multiply
    281,269.64x = 388,153.12 × 152,208.10
  4. Step 4: Simplify right side
    281,269.64x = 59,080,048,904.27
  5. Step 5: Solve for x
    x = 59,080,048,904.27/281,269.64
  6. Step 6: Final answer
    x = 210,047.73

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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.