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Finding the Fourth Proportional to 417,391.28, 575,984.40 and 226,398.32

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Solution

The fourth proportional to 417,391.28, 575,984.40 and 226,398.32 is: 312,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,391.28 : 575,984.40 = 226,398.32 : x
  2. Step 2: Convert to fraction form
    417,391.28/575,984.40 = 226,398.32/x
  3. Step 3: Cross multiply
    417,391.28x = 575,984.40 × 226,398.32
  4. Step 4: Simplify right side
    417,391.28x = 130,401,900,506.21
  5. Step 5: Solve for x
    x = 130,401,900,506.21/417,391.28
  6. Step 6: Final answer
    x = 312,421.24

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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.