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Finding the Fourth Proportional to 551,155.86, 760,536.18 and 309,465

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Solution

The fourth proportional to 551,155.86, 760,536.18 and 309,465 is: 427,028.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,155.86 : 760,536.18 = 309,465 : x
  2. Step 2: Convert to fraction form
    551,155.86/760,536.18 = 309,465/x
  3. Step 3: Cross multiply
    551,155.86x = 760,536.18 × 309,465
  4. Step 4: Simplify right side
    551,155.86x = 235,359,328,943.70
  5. Step 5: Solve for x
    x = 235,359,328,943.70/551,155.86
  6. Step 6: Final answer
    x = 427,028.62

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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.