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Finding the Fourth Proportional to 289,543.20, 434,606.40 and 139,903.80

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Solution

The fourth proportional to 289,543.20, 434,606.40 and 139,903.80 is: 209,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,543.20 : 434,606.40 = 139,903.80 : x
  2. Step 2: Convert to fraction form
    289,543.20/434,606.40 = 139,903.80/x
  3. Step 3: Cross multiply
    289,543.20x = 434,606.40 × 139,903.80
  4. Step 4: Simplify right side
    289,543.20x = 60,803,086,864.32
  5. Step 5: Solve for x
    x = 60,803,086,864.32/289,543.20
  6. Step 6: Final answer
    x = 209,996.60

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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.