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Finding the Fourth Proportional to 645,328.60, 967,532.10 and 364,931.80

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Solution

The fourth proportional to 645,328.60, 967,532.10 and 364,931.80 is: 547,137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,328.60 : 967,532.10 = 364,931.80 : x
  2. Step 2: Convert to fraction form
    645,328.60/967,532.10 = 364,931.80/x
  3. Step 3: Cross multiply
    645,328.60x = 967,532.10 × 364,931.80
  4. Step 4: Simplify right side
    645,328.60x = 353,083,230,810.78
  5. Step 5: Solve for x
    x = 353,083,230,810.78/645,328.60
  6. Step 6: Final answer
    x = 547,137.12

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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.