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Finding the Fourth Proportional to 380,394.81, 524,954.62 and 208,322.25

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Solution

The fourth proportional to 380,394.81, 524,954.62 and 208,322.25 is: 287,490.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,394.81 : 524,954.62 = 208,322.25 : x
  2. Step 2: Convert to fraction form
    380,394.81/524,954.62 = 208,322.25/x
  3. Step 3: Cross multiply
    380,394.81x = 524,954.62 × 208,322.25
  4. Step 4: Simplify right side
    380,394.81x = 109,359,730,307.42
  5. Step 5: Solve for x
    x = 109,359,730,307.42/380,394.81
  6. Step 6: Final answer
    x = 287,490.07

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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.