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Finding the Fourth Proportional to 459,326.17, 688,944.69 and 139,480.80

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Solution

The fourth proportional to 459,326.17, 688,944.69 and 139,480.80 is: 209,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,326.17 : 688,944.69 = 139,480.80 : x
  2. Step 2: Convert to fraction form
    459,326.17/688,944.69 = 139,480.80/x
  3. Step 3: Cross multiply
    459,326.17x = 688,944.69 × 139,480.80
  4. Step 4: Simplify right side
    459,326.17x = 96,094,556,516.95
  5. Step 5: Solve for x
    x = 96,094,556,516.95/459,326.17
  6. Step 6: Final answer
    x = 209,207.67

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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.