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Finding the Fourth Proportional to 645,459.80, 966,297 and 452,666.03

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Solution

The fourth proportional to 645,459.80, 966,297 and 452,666.03 is: 677,671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,459.80 : 966,297 = 452,666.03 : x
  2. Step 2: Convert to fraction form
    645,459.80/966,297 = 452,666.03/x
  3. Step 3: Cross multiply
    645,459.80x = 966,297 × 452,666.03
  4. Step 4: Simplify right side
    645,459.80x = 437,409,826,790.91
  5. Step 5: Solve for x
    x = 437,409,826,790.91/645,459.80
  6. Step 6: Final answer
    x = 677,671.68

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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.