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Finding the Fourth Proportional to 557,402.67, 769,219.74 and 302,753.94

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Solution

The fourth proportional to 557,402.67, 769,219.74 and 302,753.94 is: 417,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,402.67 : 769,219.74 = 302,753.94 : x
  2. Step 2: Convert to fraction form
    557,402.67/769,219.74 = 302,753.94/x
  3. Step 3: Cross multiply
    557,402.67x = 769,219.74 × 302,753.94
  4. Step 4: Simplify right side
    557,402.67x = 232,884,307,010.78
  5. Step 5: Solve for x
    x = 232,884,307,010.78/557,402.67
  6. Step 6: Final answer
    x = 417,802.64

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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.