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Finding the Fourth Proportional to 487,810.70, 731,497.35 and 221,434.10

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Solution

The fourth proportional to 487,810.70, 731,497.35 and 221,434.10 is: 332,051.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,810.70 : 731,497.35 = 221,434.10 : x
  2. Step 2: Convert to fraction form
    487,810.70/731,497.35 = 221,434.10/x
  3. Step 3: Cross multiply
    487,810.70x = 731,497.35 × 221,434.10
  4. Step 4: Simplify right side
    487,810.70x = 161,978,457,349.64
  5. Step 5: Solve for x
    x = 161,978,457,349.64/487,810.70
  6. Step 6: Final answer
    x = 332,051.87

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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.