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Finding the Fourth Proportional to 557,211.69, 768,955.28 and 302,562.95

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Solution

The fourth proportional to 557,211.69, 768,955.28 and 302,562.95 is: 417,538.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,211.69 : 768,955.28 = 302,562.95 : x
  2. Step 2: Convert to fraction form
    557,211.69/768,955.28 = 302,562.95/x
  3. Step 3: Cross multiply
    557,211.69x = 768,955.28 × 302,562.95
  4. Step 4: Simplify right side
    557,211.69x = 232,657,372,577.29
  5. Step 5: Solve for x
    x = 232,657,372,577.29/557,211.69
  6. Step 6: Final answer
    x = 417,538.57

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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.