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Finding the Fourth Proportional to 459,749.74, 689,650.51 and 139,912.01

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Solution

The fourth proportional to 459,749.74, 689,650.51 and 139,912.01 is: 209,875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,749.74 : 689,650.51 = 139,912.01 : x
  2. Step 2: Convert to fraction form
    459,749.74/689,650.51 = 139,912.01/x
  3. Step 3: Cross multiply
    459,749.74x = 689,650.51 × 139,912.01
  4. Step 4: Simplify right side
    459,749.74x = 96,490,389,051.63
  5. Step 5: Solve for x
    x = 96,490,389,051.63/459,749.74
  6. Step 6: Final answer
    x = 209,875.90

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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.