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Finding the Fourth Proportional to 551,340.24, 760,846.65 and 309,633

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Solution

The fourth proportional to 551,340.24, 760,846.65 and 309,633 is: 427,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,340.24 : 760,846.65 = 309,633 : x
  2. Step 2: Convert to fraction form
    551,340.24/760,846.65 = 309,633/x
  3. Step 3: Cross multiply
    551,340.24x = 760,846.65 × 309,633
  4. Step 4: Simplify right side
    551,340.24x = 235,583,230,779.45
  5. Step 5: Solve for x
    x = 235,583,230,779.45/551,340.24
  6. Step 6: Final answer
    x = 427,291.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.