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Finding the Fourth Proportional to 496,008.81, 684,509.87 and 304,985.30

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Solution

The fourth proportional to 496,008.81, 684,509.87 and 304,985.30 is: 420,890.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,008.81 : 684,509.87 = 304,985.30 : x
  2. Step 2: Convert to fraction form
    496,008.81/684,509.87 = 304,985.30/x
  3. Step 3: Cross multiply
    496,008.81x = 684,509.87 × 304,985.30
  4. Step 4: Simplify right side
    496,008.81x = 208,765,445,394.83
  5. Step 5: Solve for x
    x = 208,765,445,394.83/496,008.81
  6. Step 6: Final answer
    x = 420,890.60

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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.