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Finding the Fourth Proportional to 494,009.64, 740,838.96 and 213,373.80

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Solution

The fourth proportional to 494,009.64, 740,838.96 and 213,373.80 is: 319,984.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,009.64 : 740,838.96 = 213,373.80 : x
  2. Step 2: Convert to fraction form
    494,009.64/740,838.96 = 213,373.80/x
  3. Step 3: Cross multiply
    494,009.64x = 740,838.96 × 213,373.80
  4. Step 4: Simplify right side
    494,009.64x = 158,075,624,083.25
  5. Step 5: Solve for x
    x = 158,075,624,083.25/494,009.64
  6. Step 6: Final answer
    x = 319,984.90

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1.5x scale

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.