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Finding the Fourth Proportional to 416,290.10, 574,479.34 and 225,303.64

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Solution

The fourth proportional to 416,290.10, 574,479.34 and 225,303.64 is: 310,918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,290.10 : 574,479.34 = 225,303.64 : x
  2. Step 2: Convert to fraction form
    416,290.10/574,479.34 = 225,303.64/x
  3. Step 3: Cross multiply
    416,290.10x = 574,479.34 × 225,303.64
  4. Step 4: Simplify right side
    416,290.10x = 129,432,284,407.34
  5. Step 5: Solve for x
    x = 129,432,284,407.34/416,290.10
  6. Step 6: Final answer
    x = 310,918.48

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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.