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Finding the Fourth Proportional to 565,414.63, 780,278.24 and 307,291.57

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Solution

The fourth proportional to 565,414.63, 780,278.24 and 307,291.57 is: 424,065.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,414.63 : 780,278.24 = 307,291.57 : x
  2. Step 2: Convert to fraction form
    565,414.63/780,278.24 = 307,291.57/x
  3. Step 3: Cross multiply
    565,414.63x = 780,278.24 × 307,291.57
  4. Step 4: Simplify right side
    565,414.63x = 239,772,927,748.78
  5. Step 5: Solve for x
    x = 239,772,927,748.78/565,414.63
  6. Step 6: Final answer
    x = 424,065.66

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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.