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Finding the Fourth Proportional to 566,281.83, 781,469.07 and 311,633.01

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Solution

The fourth proportional to 566,281.83, 781,469.07 and 311,633.01 is: 430,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,281.83 : 781,469.07 = 311,633.01 : x
  2. Step 2: Convert to fraction form
    566,281.83/781,469.07 = 311,633.01/x
  3. Step 3: Cross multiply
    566,281.83x = 781,469.07 × 311,633.01
  4. Step 4: Simplify right side
    566,281.83x = 243,531,558,506.00
  5. Step 5: Solve for x
    x = 243,531,558,506.00/566,281.83
  6. Step 6: Final answer
    x = 430,053.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.