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Finding the Fourth Proportional to 500,905.76, 691,320.80 and 309,980.64

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Solution

The fourth proportional to 500,905.76, 691,320.80 and 309,980.64 is: 427,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,905.76 : 691,320.80 = 309,980.64 : x
  2. Step 2: Convert to fraction form
    500,905.76/691,320.80 = 309,980.64/x
  3. Step 3: Cross multiply
    500,905.76x = 691,320.80 × 309,980.64
  4. Step 4: Simplify right side
    500,905.76x = 214,296,064,029.31
  5. Step 5: Solve for x
    x = 214,296,064,029.31/500,905.76
  6. Step 6: Final answer
    x = 427,817.13

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1.5x scale

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.