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Finding the Fourth Proportional to 563,690.90, 777,894.49 and 305,567.05

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Solution

The fourth proportional to 563,690.90, 777,894.49 and 305,567.05 is: 421,683.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,690.90 : 777,894.49 = 305,567.05 : x
  2. Step 2: Convert to fraction form
    563,690.90/777,894.49 = 305,567.05/x
  3. Step 3: Cross multiply
    563,690.90x = 777,894.49 × 305,567.05
  4. Step 4: Simplify right side
    563,690.90x = 237,698,925,614.62
  5. Step 5: Solve for x
    x = 237,698,925,614.62/563,690.90
  6. Step 6: Final answer
    x = 421,683.10

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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.