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Finding the Fourth Proportional to 665,665.70, 997,951.80 and 286,877.30

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Solution

The fourth proportional to 665,665.70, 997,951.80 and 286,877.30 is: 430,080.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,665.70 : 997,951.80 = 286,877.30 : x
  2. Step 2: Convert to fraction form
    665,665.70/997,951.80 = 286,877.30/x
  3. Step 3: Cross multiply
    665,665.70x = 997,951.80 × 286,877.30
  4. Step 4: Simplify right side
    665,665.70x = 286,289,717,914.14
  5. Step 5: Solve for x
    x = 286,289,717,914.14/665,665.70
  6. Step 6: Final answer
    x = 430,080.32

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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.