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Finding the Fourth Proportional to 645,564.60, 967,886.10 and 365,167.80

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Solution

The fourth proportional to 645,564.60, 967,886.10 and 365,167.80 is: 547,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,564.60 : 967,886.10 = 365,167.80 : x
  2. Step 2: Convert to fraction form
    645,564.60/967,886.10 = 365,167.80/x
  3. Step 3: Cross multiply
    645,564.60x = 967,886.10 × 365,167.80
  4. Step 4: Simplify right side
    645,564.60x = 353,440,837,787.58
  5. Step 5: Solve for x
    x = 353,440,837,787.58/645,564.60
  6. Step 6: Final answer
    x = 547,491.05

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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.