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Finding the Fourth Proportional to 416,971.56, 575,421.75 and 225,984.90

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Solution

The fourth proportional to 416,971.56, 575,421.75 and 225,984.90 is: 311,859.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,971.56 : 575,421.75 = 225,984.90 : x
  2. Step 2: Convert to fraction form
    416,971.56/575,421.75 = 225,984.90/x
  3. Step 3: Cross multiply
    416,971.56x = 575,421.75 × 225,984.90
  4. Step 4: Simplify right side
    416,971.56x = 130,036,626,631.58
  5. Step 5: Solve for x
    x = 130,036,626,631.58/416,971.56
  6. Step 6: Final answer
    x = 311,859.70

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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.