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Finding the Fourth Proportional to 417,214.82, 575,851.74 and 245,153

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Solution

The fourth proportional to 417,214.82, 575,851.74 and 245,153 is: 338,367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,214.82 : 575,851.74 = 245,153 : x
  2. Step 2: Convert to fraction form
    417,214.82/575,851.74 = 245,153/x
  3. Step 3: Cross multiply
    417,214.82x = 575,851.74 × 245,153
  4. Step 4: Simplify right side
    417,214.82x = 141,171,781,616.22
  5. Step 5: Solve for x
    x = 141,171,781,616.22/417,214.82
  6. Step 6: Final answer
    x = 338,367.13

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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.