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Finding the Fourth Proportional to 557,332.88, 769,123.29 and 302,684.06

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Solution

The fourth proportional to 557,332.88, 769,123.29 and 302,684.06 is: 417,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,332.88 : 769,123.29 = 302,684.06 : x
  2. Step 2: Convert to fraction form
    557,332.88/769,123.29 = 302,684.06/x
  3. Step 3: Cross multiply
    557,332.88x = 769,123.29 × 302,684.06
  4. Step 4: Simplify right side
    557,332.88x = 232,801,356,212.14
  5. Step 5: Solve for x
    x = 232,801,356,212.14/557,332.88
  6. Step 6: Final answer
    x = 417,706.13

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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.