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Finding the Fourth Proportional to 289,810.60, 434,715.90 and 264,927.40

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Solution

The fourth proportional to 289,810.60, 434,715.90 and 264,927.40 is: 397,391.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,810.60 : 434,715.90 = 264,927.40 : x
  2. Step 2: Convert to fraction form
    289,810.60/434,715.90 = 264,927.40/x
  3. Step 3: Cross multiply
    289,810.60x = 434,715.90 × 264,927.40
  4. Step 4: Simplify right side
    289,810.60x = 115,168,153,125.66
  5. Step 5: Solve for x
    x = 115,168,153,125.66/289,810.60
  6. Step 6: Final answer
    x = 397,391.10

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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.