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Finding the Fourth Proportional to 557,615.89, 769,513.13 and 302,969.17

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Solution

The fourth proportional to 557,615.89, 769,513.13 and 302,969.17 is: 418,099.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,615.89 : 769,513.13 = 302,969.17 : x
  2. Step 2: Convert to fraction form
    557,615.89/769,513.13 = 302,969.17/x
  3. Step 3: Cross multiply
    557,615.89x = 769,513.13 × 302,969.17
  4. Step 4: Simplify right side
    557,615.89x = 233,138,754,300.20
  5. Step 5: Solve for x
    x = 233,138,754,300.20/557,615.89
  6. Step 6: Final answer
    x = 418,099.19

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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.