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Finding the Fourth Proportional to 289,393.48, 434,117.10 and 89,715.40

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Solution

The fourth proportional to 289,393.48, 434,117.10 and 89,715.40 is: 134,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,393.48 : 434,117.10 = 89,715.40 : x
  2. Step 2: Convert to fraction form
    289,393.48/434,117.10 = 89,715.40/x
  3. Step 3: Cross multiply
    289,393.48x = 434,117.10 × 89,715.40
  4. Step 4: Simplify right side
    289,393.48x = 38,946,989,273.34
  5. Step 5: Solve for x
    x = 38,946,989,273.34/289,393.48
  6. Step 6: Final answer
    x = 134,581.43

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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.