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Finding the Fourth Proportional to 590,437.80, 885,743.10 and 309,976.20

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Solution

The fourth proportional to 590,437.80, 885,743.10 and 309,976.20 is: 465,009.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,437.80 : 885,743.10 = 309,976.20 : x
  2. Step 2: Convert to fraction form
    590,437.80/885,743.10 = 309,976.20/x
  3. Step 3: Cross multiply
    590,437.80x = 885,743.10 × 309,976.20
  4. Step 4: Simplify right side
    590,437.80x = 274,559,280,314.22
  5. Step 5: Solve for x
    x = 274,559,280,314.22/590,437.80
  6. Step 6: Final answer
    x = 465,009.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.