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Finding the Fourth Proportional to 283,240.56, 390,876.95 and 154,182.74

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Solution

The fourth proportional to 283,240.56, 390,876.95 and 154,182.74 is: 212,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,240.56 : 390,876.95 = 154,182.74 : x
  2. Step 2: Convert to fraction form
    283,240.56/390,876.95 = 154,182.74/x
  3. Step 3: Cross multiply
    283,240.56x = 390,876.95 × 154,182.74
  4. Step 4: Simplify right side
    283,240.56x = 60,266,478,684.26
  5. Step 5: Solve for x
    x = 60,266,478,684.26/283,240.56
  6. Step 6: Final answer
    x = 212,774.89

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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.