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Finding the Fourth Proportional to 557,013.88, 768,678.44 and 302,365.04

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Solution

The fourth proportional to 557,013.88, 768,678.44 and 302,365.04 is: 417,263.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,013.88 : 768,678.44 = 302,365.04 : x
  2. Step 2: Convert to fraction form
    557,013.88/768,678.44 = 302,365.04/x
  3. Step 3: Cross multiply
    557,013.88x = 768,678.44 × 302,365.04
  4. Step 4: Simplify right side
    557,013.88x = 232,421,487,257.74
  5. Step 5: Solve for x
    x = 232,421,487,257.74/557,013.88
  6. Step 6: Final answer
    x = 417,263.37

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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.