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Finding the Fourth Proportional to 559,744.80, 772,446 and 305,095.98

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Solution

The fourth proportional to 559,744.80, 772,446 and 305,095.98 is: 421,031.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,744.80 : 772,446 = 305,095.98 : x
  2. Step 2: Convert to fraction form
    559,744.80/772,446 = 305,095.98/x
  3. Step 3: Cross multiply
    559,744.80x = 772,446 × 305,095.98
  4. Step 4: Simplify right side
    559,744.80x = 235,670,169,367.08
  5. Step 5: Solve for x
    x = 235,670,169,367.08/559,744.80
  6. Step 6: Final answer
    x = 421,031.46

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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.