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Finding the Fourth Proportional to 768,048.89, 1,151,368.02 and 294,639.93

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Solution

The fourth proportional to 768,048.89, 1,151,368.02 and 294,639.93 is: 441,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,048.89 : 1,151,368.02 = 294,639.93 : x
  2. Step 2: Convert to fraction form
    768,048.89/1,151,368.02 = 294,639.93/x
  3. Step 3: Cross multiply
    768,048.89x = 1,151,368.02 × 294,639.93
  4. Step 4: Simplify right side
    768,048.89x = 339,238,992,817.04
  5. Step 5: Solve for x
    x = 339,238,992,817.04/768,048.89
  6. Step 6: Final answer
    x = 441,689.32

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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.