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Finding the Fourth Proportional to 560,300.25, 773,216.64 and 305,656.77

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Solution

The fourth proportional to 560,300.25, 773,216.64 and 305,656.77 is: 421,807.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,300.25 : 773,216.64 = 305,656.77 : x
  2. Step 2: Convert to fraction form
    560,300.25/773,216.64 = 305,656.77/x
  3. Step 3: Cross multiply
    560,300.25x = 773,216.64 × 305,656.77
  4. Step 4: Simplify right side
    560,300.25x = 236,338,900,692.65
  5. Step 5: Solve for x
    x = 236,338,900,692.65/560,300.25
  6. Step 6: Final answer
    x = 421,807.59

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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.