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Finding the Fourth Proportional to 557,527.23, 769,390.65 and 302,878.98

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Solution

The fourth proportional to 557,527.23, 769,390.65 and 302,878.98 is: 417,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,527.23 : 769,390.65 = 302,878.98 : x
  2. Step 2: Convert to fraction form
    557,527.23/769,390.65 = 302,878.98/x
  3. Step 3: Cross multiply
    557,527.23x = 769,390.65 × 302,878.98
  4. Step 4: Simplify right side
    557,527.23x = 233,032,255,293.54
  5. Step 5: Solve for x
    x = 233,032,255,293.54/557,527.23
  6. Step 6: Final answer
    x = 417,974.66

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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.