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Finding the Fourth Proportional to 459,748.74, 689,649.01 and 139,911.01

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Solution

The fourth proportional to 459,748.74, 689,649.01 and 139,911.01 is: 209,874.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,748.74 : 689,649.01 = 139,911.01 : x
  2. Step 2: Convert to fraction form
    459,748.74/689,649.01 = 139,911.01/x
  3. Step 3: Cross multiply
    459,748.74x = 689,649.01 × 139,911.01
  4. Step 4: Simplify right side
    459,748.74x = 96,489,489,534.60
  5. Step 5: Solve for x
    x = 96,489,489,534.60/459,748.74
  6. Step 6: Final answer
    x = 209,874.40

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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.