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Finding the Fourth Proportional to 551,426.16, 760,981.32 and 309,709.20

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Solution

The fourth proportional to 551,426.16, 760,981.32 and 309,709.20 is: 427,406.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,426.16 : 760,981.32 = 309,709.20 : x
  2. Step 2: Convert to fraction form
    551,426.16/760,981.32 = 309,709.20/x
  3. Step 3: Cross multiply
    551,426.16x = 760,981.32 × 309,709.20
  4. Step 4: Simplify right side
    551,426.16x = 235,682,915,832.14
  5. Step 5: Solve for x
    x = 235,682,915,832.14/551,426.16
  6. Step 6: Final answer
    x = 427,406.12

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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.