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Finding the Fourth Proportional to 289,302.07, 433,205.47 and 199,621.30

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Solution

The fourth proportional to 289,302.07, 433,205.47 and 199,621.30 is: 298,916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,302.07 : 433,205.47 = 199,621.30 : x
  2. Step 2: Convert to fraction form
    289,302.07/433,205.47 = 199,621.30/x
  3. Step 3: Cross multiply
    289,302.07x = 433,205.47 × 199,621.30
  4. Step 4: Simplify right side
    289,302.07x = 86,477,039,088.51
  5. Step 5: Solve for x
    x = 86,477,039,088.51/289,302.07
  6. Step 6: Final answer
    x = 298,916.07

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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.