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Finding the Fourth Proportional to 289,038.48, 398,920.34 and 198,319.59

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Solution

The fourth proportional to 289,038.48, 398,920.34 and 198,319.59 is: 273,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,038.48 : 398,920.34 = 198,319.59 : x
  2. Step 2: Convert to fraction form
    289,038.48/398,920.34 = 198,319.59/x
  3. Step 3: Cross multiply
    289,038.48x = 398,920.34 × 198,319.59
  4. Step 4: Simplify right side
    289,038.48x = 79,113,718,767.26
  5. Step 5: Solve for x
    x = 79,113,718,767.26/289,038.48
  6. Step 6: Final answer
    x = 273,713.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.