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Finding the Fourth Proportional to 289,784.15, 434,369.43 and 97,475.50

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Solution

The fourth proportional to 289,784.15, 434,369.43 and 97,475.50 is: 146,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,784.15 : 434,369.43 = 97,475.50 : x
  2. Step 2: Convert to fraction form
    289,784.15/434,369.43 = 97,475.50/x
  3. Step 3: Cross multiply
    289,784.15x = 434,369.43 × 97,475.50
  4. Step 4: Simplify right side
    289,784.15x = 42,340,376,886.59
  5. Step 5: Solve for x
    x = 42,340,376,886.59/289,784.15
  6. Step 6: Final answer
    x = 146,110.05

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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.