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Finding the Fourth Proportional to 459,430.99, 689,146.53 and 143,912.50

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Solution

The fourth proportional to 459,430.99, 689,146.53 and 143,912.50 is: 215,868.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,430.99 : 689,146.53 = 143,912.50 : x
  2. Step 2: Convert to fraction form
    459,430.99/689,146.53 = 143,912.50/x
  3. Step 3: Cross multiply
    459,430.99x = 689,146.53 × 143,912.50
  4. Step 4: Simplify right side
    459,430.99x = 99,176,799,998.63
  5. Step 5: Solve for x
    x = 99,176,799,998.63/459,430.99
  6. Step 6: Final answer
    x = 215,868.76

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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.