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Finding the Fourth Proportional to 513,954.57, 709,248.88 and 284,507.06

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Solution

The fourth proportional to 513,954.57, 709,248.88 and 284,507.06 is: 392,615.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,954.57 : 709,248.88 = 284,507.06 : x
  2. Step 2: Convert to fraction form
    513,954.57/709,248.88 = 284,507.06/x
  3. Step 3: Cross multiply
    513,954.57x = 709,248.88 × 284,507.06
  4. Step 4: Simplify right side
    513,954.57x = 201,786,313,261.42
  5. Step 5: Solve for x
    x = 201,786,313,261.42/513,954.57
  6. Step 6: Final answer
    x = 392,615.08

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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.