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Finding the Fourth Proportional to 559,758, 772,454.56 and 305,106.96

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Solution

The fourth proportional to 559,758, 772,454.56 and 305,106.96 is: 421,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,758 : 772,454.56 = 305,106.96 : x
  2. Step 2: Convert to fraction form
    559,758/772,454.56 = 305,106.96/x
  3. Step 3: Cross multiply
    559,758x = 772,454.56 × 305,106.96
  4. Step 4: Simplify right side
    559,758x = 235,681,262,539.74
  5. Step 5: Solve for x
    x = 235,681,262,539.74/559,758
  6. Step 6: Final answer
    x = 421,041.35

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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.