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Finding the Fourth Proportional to 251,803.84, 347,476.80 and 138,624.16

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Solution

The fourth proportional to 251,803.84, 347,476.80 and 138,624.16 is: 191,294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,803.84 : 347,476.80 = 138,624.16 : x
  2. Step 2: Convert to fraction form
    251,803.84/347,476.80 = 138,624.16/x
  3. Step 3: Cross multiply
    251,803.84x = 347,476.80 × 138,624.16
  4. Step 4: Simplify right side
    251,803.84x = 48,168,679,519.49
  5. Step 5: Solve for x
    x = 48,168,679,519.49/251,803.84
  6. Step 6: Final answer
    x = 191,294.46

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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.