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Finding the Fourth Proportional to 289,700.40, 434,534.40 and 90,019.20

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Solution

The fourth proportional to 289,700.40, 434,534.40 and 90,019.20 is: 135,023.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,700.40 : 434,534.40 = 90,019.20 : x
  2. Step 2: Convert to fraction form
    289,700.40/434,534.40 = 90,019.20/x
  3. Step 3: Cross multiply
    289,700.40x = 434,534.40 × 90,019.20
  4. Step 4: Simplify right side
    289,700.40x = 39,116,439,060.48
  5. Step 5: Solve for x
    x = 39,116,439,060.48/289,700.40
  6. Step 6: Final answer
    x = 135,023.77

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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.