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Finding the Fourth Proportional to 499,611.48, 689,421.98 and 281,808.12

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Solution

The fourth proportional to 499,611.48, 689,421.98 and 281,808.12 is: 388,871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,611.48 : 689,421.98 = 281,808.12 : x
  2. Step 2: Convert to fraction form
    499,611.48/689,421.98 = 281,808.12/x
  3. Step 3: Cross multiply
    499,611.48x = 689,421.98 × 281,808.12
  4. Step 4: Simplify right side
    499,611.48x = 194,284,712,070.48
  5. Step 5: Solve for x
    x = 194,284,712,070.48/499,611.48
  6. Step 6: Final answer
    x = 388,871.59

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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.