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Finding the Fourth Proportional to 557,284.32, 769,031.82 and 302,630.04

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Solution

The fourth proportional to 557,284.32, 769,031.82 and 302,630.04 is: 417,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,284.32 : 769,031.82 = 302,630.04 : x
  2. Step 2: Convert to fraction form
    557,284.32/769,031.82 = 302,630.04/x
  3. Step 3: Cross multiply
    557,284.32x = 769,031.82 × 302,630.04
  4. Step 4: Simplify right side
    557,284.32x = 232,732,130,447.87
  5. Step 5: Solve for x
    x = 232,732,130,447.87/557,284.32
  6. Step 6: Final answer
    x = 417,618.30

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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.