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Finding the Fourth Proportional to 563,941.62, 778,288.64 and 309,342

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Solution

The fourth proportional to 563,941.62, 778,288.64 and 309,342 is: 426,918.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,941.62 : 778,288.64 = 309,342 : x
  2. Step 2: Convert to fraction form
    563,941.62/778,288.64 = 309,342/x
  3. Step 3: Cross multiply
    563,941.62x = 778,288.64 × 309,342
  4. Step 4: Simplify right side
    563,941.62x = 240,757,362,928.17
  5. Step 5: Solve for x
    x = 240,757,362,928.17/563,941.62
  6. Step 6: Final answer
    x = 426,918.95

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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.