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Finding the Fourth Proportional to 430,610, 646,019.40 and 135,122

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Solution

The fourth proportional to 430,610, 646,019.40 and 135,122 is: 202,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,610 : 646,019.40 = 135,122 : x
  2. Step 2: Convert to fraction form
    430,610/646,019.40 = 135,122/x
  3. Step 3: Cross multiply
    430,610x = 646,019.40 × 135,122
  4. Step 4: Simplify right side
    430,610x = 87,291,433,366.80
  5. Step 5: Solve for x
    x = 87,291,433,366.80/430,610
  6. Step 6: Final answer
    x = 202,715.76

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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.