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Finding the Fourth Proportional to 421,500.51, 632,328.76 and 133,384.70

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Solution

The fourth proportional to 421,500.51, 632,328.76 and 133,384.70 is: 200,101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,500.51 : 632,328.76 = 133,384.70 : x
  2. Step 2: Convert to fraction form
    421,500.51/632,328.76 = 133,384.70/x
  3. Step 3: Cross multiply
    421,500.51x = 632,328.76 × 133,384.70
  4. Step 4: Simplify right side
    421,500.51x = 84,342,984,064.51
  5. Step 5: Solve for x
    x = 84,342,984,064.51/421,500.51
  6. Step 6: Final answer
    x = 200,101.74

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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.