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Finding the Fourth Proportional to 430,708, 646,087.92 and 135,220

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Solution

The fourth proportional to 430,708, 646,087.92 and 135,220 is: 202,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,708 : 646,087.92 = 135,220 : x
  2. Step 2: Convert to fraction form
    430,708/646,087.92 = 135,220/x
  3. Step 3: Cross multiply
    430,708x = 646,087.92 × 135,220
  4. Step 4: Simplify right side
    430,708x = 87,364,008,542.40
  5. Step 5: Solve for x
    x = 87,364,008,542.40/430,708
  6. Step 6: Final answer
    x = 202,838.14

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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.