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Finding the Fourth Proportional to 305,079.57, 457,623.26 and 210,284.31

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Solution

The fourth proportional to 305,079.57, 457,623.26 and 210,284.31 is: 315,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,079.57 : 457,623.26 = 210,284.31 : x
  2. Step 2: Convert to fraction form
    305,079.57/457,623.26 = 210,284.31/x
  3. Step 3: Cross multiply
    305,079.57x = 457,623.26 × 210,284.31
  4. Step 4: Simplify right side
    305,079.57x = 96,230,990,417.63
  5. Step 5: Solve for x
    x = 96,230,990,417.63/305,079.57
  6. Step 6: Final answer
    x = 315,429.15

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1.5x scale

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.