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Finding the Fourth Proportional to 410,386.34, 615,774.46 and 284,220.74

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Solution

The fourth proportional to 410,386.34, 615,774.46 and 284,220.74 is: 426,466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,386.34 : 615,774.46 = 284,220.74 : x
  2. Step 2: Convert to fraction form
    410,386.34/615,774.46 = 284,220.74/x
  3. Step 3: Cross multiply
    410,386.34x = 615,774.46 × 284,220.74
  4. Step 4: Simplify right side
    410,386.34x = 175,015,872,694.30
  5. Step 5: Solve for x
    x = 175,015,872,694.30/410,386.34
  6. Step 6: Final answer
    x = 426,466.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.