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Finding the Fourth Proportional to 378,281.84, 522,065.70 and 282,622.46

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Solution

The fourth proportional to 378,281.84, 522,065.70 and 282,622.46 is: 390,046.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,281.84 : 522,065.70 = 282,622.46 : x
  2. Step 2: Convert to fraction form
    378,281.84/522,065.70 = 282,622.46/x
  3. Step 3: Cross multiply
    378,281.84x = 522,065.70 × 282,622.46
  4. Step 4: Simplify right side
    378,281.84x = 147,547,489,805.29
  5. Step 5: Solve for x
    x = 147,547,489,805.29/378,281.84
  6. Step 6: Final answer
    x = 390,046.46

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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.