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Finding the Fourth Proportional to 283,642.34, 391,421.41 and 154,582

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Solution

The fourth proportional to 283,642.34, 391,421.41 and 154,582 is: 213,320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,642.34 : 391,421.41 = 154,582 : x
  2. Step 2: Convert to fraction form
    283,642.34/391,421.41 = 154,582/x
  3. Step 3: Cross multiply
    283,642.34x = 391,421.41 × 154,582
  4. Step 4: Simplify right side
    283,642.34x = 60,506,703,627.71
  5. Step 5: Solve for x
    x = 60,506,703,627.71/283,642.34
  6. Step 6: Final answer
    x = 213,320.42

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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.