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Finding the Fourth Proportional to 289,030.40, 433,480.80 and 189,886.40

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Solution

The fourth proportional to 289,030.40, 433,480.80 and 189,886.40 is: 284,787.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,030.40 : 433,480.80 = 189,886.40 : x
  2. Step 2: Convert to fraction form
    289,030.40/433,480.80 = 189,886.40/x
  3. Step 3: Cross multiply
    289,030.40x = 433,480.80 × 189,886.40
  4. Step 4: Simplify right side
    289,030.40x = 82,312,108,581.12
  5. Step 5: Solve for x
    x = 82,312,108,581.12/289,030.40
  6. Step 6: Final answer
    x = 284,787.03

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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.