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Finding the Fourth Proportional to 557,307.54, 769,090.05 and 302,663.70

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Solution

The fourth proportional to 557,307.54, 769,090.05 and 302,663.70 is: 417,678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,307.54 : 769,090.05 = 302,663.70 : x
  2. Step 2: Convert to fraction form
    557,307.54/769,090.05 = 302,663.70/x
  3. Step 3: Cross multiply
    557,307.54x = 769,090.05 × 302,663.70
  4. Step 4: Simplify right side
    557,307.54x = 232,775,640,166.19
  5. Step 5: Solve for x
    x = 232,775,640,166.19/557,307.54
  6. Step 6: Final answer
    x = 417,678.97

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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.