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Finding the Fourth Proportional to 221,294.40, 332,038.80 and 102,904.80

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Solution

The fourth proportional to 221,294.40, 332,038.80 and 102,904.80 is: 154,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,294.40 : 332,038.80 = 102,904.80 : x
  2. Step 2: Convert to fraction form
    221,294.40/332,038.80 = 102,904.80/x
  3. Step 3: Cross multiply
    221,294.40x = 332,038.80 × 102,904.80
  4. Step 4: Simplify right side
    221,294.40x = 34,168,386,306.24
  5. Step 5: Solve for x
    x = 34,168,386,306.24/221,294.40
  6. Step 6: Final answer
    x = 154,402.40

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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.