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Finding the Fourth Proportional to 354,051.12, 488,367.28 and 210,704.16

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Solution

The fourth proportional to 354,051.12, 488,367.28 and 210,704.16 is: 290,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,051.12 : 488,367.28 = 210,704.16 : x
  2. Step 2: Convert to fraction form
    354,051.12/488,367.28 = 210,704.16/x
  3. Step 3: Cross multiply
    354,051.12x = 488,367.28 × 210,704.16
  4. Step 4: Simplify right side
    354,051.12x = 102,901,017,503.89
  5. Step 5: Solve for x
    x = 102,901,017,503.89/354,051.12
  6. Step 6: Final answer
    x = 290,638.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.