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Finding the Fourth Proportional to 289,315.40, 433,994.70 and 102,302.60

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Solution

The fourth proportional to 289,315.40, 433,994.70 and 102,302.60 is: 153,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,315.40 : 433,994.70 = 102,302.60 : x
  2. Step 2: Convert to fraction form
    289,315.40/433,994.70 = 102,302.60/x
  3. Step 3: Cross multiply
    289,315.40x = 433,994.70 × 102,302.60
  4. Step 4: Simplify right side
    289,315.40x = 44,398,786,196.22
  5. Step 5: Solve for x
    x = 44,398,786,196.22/289,315.40
  6. Step 6: Final answer
    x = 153,461.54

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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.