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Finding the Fourth Proportional to 459,950.96, 689,692.68 and 210,419.12

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Solution

The fourth proportional to 459,950.96, 689,692.68 and 210,419.12 is: 315,521.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,950.96 : 689,692.68 = 210,419.12 : x
  2. Step 2: Convert to fraction form
    459,950.96/689,692.68 = 210,419.12/x
  3. Step 3: Cross multiply
    459,950.96x = 689,692.68 × 210,419.12
  4. Step 4: Simplify right side
    459,950.96x = 145,124,526,796.04
  5. Step 5: Solve for x
    x = 145,124,526,796.04/459,950.96
  6. Step 6: Final answer
    x = 315,521.74

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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.