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Finding the Fourth Proportional to 281,307.68, 388,204.72 and 153,984

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Solution

The fourth proportional to 281,307.68, 388,204.72 and 153,984 is: 212,497.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,307.68 : 388,204.72 = 153,984 : x
  2. Step 2: Convert to fraction form
    281,307.68/388,204.72 = 153,984/x
  3. Step 3: Cross multiply
    281,307.68x = 388,204.72 × 153,984
  4. Step 4: Simplify right side
    281,307.68x = 59,777,315,604.48
  5. Step 5: Solve for x
    x = 59,777,315,604.48/281,307.68
  6. Step 6: Final answer
    x = 212,497.99

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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.