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Finding the Fourth Proportional to 557,205.35, 768,952.44 and 302,557.14

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Solution

The fourth proportional to 557,205.35, 768,952.44 and 302,557.14 is: 417,533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,205.35 : 768,952.44 = 302,557.14 : x
  2. Step 2: Convert to fraction form
    557,205.35/768,952.44 = 302,557.14/x
  3. Step 3: Cross multiply
    557,205.35x = 768,952.44 × 302,557.14
  4. Step 4: Simplify right side
    557,205.35x = 232,652,051,042.42
  5. Step 5: Solve for x
    x = 232,652,051,042.42/557,205.35
  6. Step 6: Final answer
    x = 417,533.77

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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.