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Finding the Fourth Proportional to 298,002.36, 446,955.55 and 81,810.63

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Solution

The fourth proportional to 298,002.36, 446,955.55 and 81,810.63 is: 122,702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,002.36 : 446,955.55 = 81,810.63 : x
  2. Step 2: Convert to fraction form
    298,002.36/446,955.55 = 81,810.63/x
  3. Step 3: Cross multiply
    298,002.36x = 446,955.55 × 81,810.63
  4. Step 4: Simplify right side
    298,002.36x = 36,565,714,718.44
  5. Step 5: Solve for x
    x = 36,565,714,718.44/298,002.36
  6. Step 6: Final answer
    x = 122,702.77

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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.