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Finding the Fourth Proportional to 289,333.68, 433,858.20 and 120,803.40

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Solution

The fourth proportional to 289,333.68, 433,858.20 and 120,803.40 is: 181,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,333.68 : 433,858.20 = 120,803.40 : x
  2. Step 2: Convert to fraction form
    289,333.68/433,858.20 = 120,803.40/x
  3. Step 3: Cross multiply
    289,333.68x = 433,858.20 × 120,803.40
  4. Step 4: Simplify right side
    289,333.68x = 52,411,545,677.88
  5. Step 5: Solve for x
    x = 52,411,545,677.88/289,333.68
  6. Step 6: Final answer
    x = 181,145.68

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1.5x scale

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.