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Finding the Fourth Proportional to 665,153.40, 997,730.10 and 265,855.80

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Solution

The fourth proportional to 665,153.40, 997,730.10 and 265,855.80 is: 398,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,153.40 : 997,730.10 = 265,855.80 : x
  2. Step 2: Convert to fraction form
    665,153.40/997,730.10 = 265,855.80/x
  3. Step 3: Cross multiply
    665,153.40x = 997,730.10 × 265,855.80
  4. Step 4: Simplify right side
    665,153.40x = 265,252,333,919.58
  5. Step 5: Solve for x
    x = 265,252,333,919.58/665,153.40
  6. Step 6: Final answer
    x = 398,783.70

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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.