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Finding the Fourth Proportional to 554,365.82, 765,050.87 and 312,643.40

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Solution

The fourth proportional to 554,365.82, 765,050.87 and 312,643.40 is: 431,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,365.82 : 765,050.87 = 312,643.40 : x
  2. Step 2: Convert to fraction form
    554,365.82/765,050.87 = 312,643.40/x
  3. Step 3: Cross multiply
    554,365.82x = 765,050.87 × 312,643.40
  4. Step 4: Simplify right side
    554,365.82x = 239,188,102,126.11
  5. Step 5: Solve for x
    x = 239,188,102,126.11/554,365.82
  6. Step 6: Final answer
    x = 431,462.57

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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.