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Finding the Fourth Proportional to 320,702.92, 480,976.62 and 133,612.36

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Solution

The fourth proportional to 320,702.92, 480,976.62 and 133,612.36 is: 200,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,702.92 : 480,976.62 = 133,612.36 : x
  2. Step 2: Convert to fraction form
    320,702.92/480,976.62 = 133,612.36/x
  3. Step 3: Cross multiply
    320,702.92x = 480,976.62 × 133,612.36
  4. Step 4: Simplify right side
    320,702.92x = 64,264,421,303.02
  5. Step 5: Solve for x
    x = 64,264,421,303.02/320,702.92
  6. Step 6: Final answer
    x = 200,386.14

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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.