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Finding the Fourth Proportional to 565,285.29, 780,137.10 and 323,643.66

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Solution

The fourth proportional to 565,285.29, 780,137.10 and 323,643.66 is: 446,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,285.29 : 780,137.10 = 323,643.66 : x
  2. Step 2: Convert to fraction form
    565,285.29/780,137.10 = 323,643.66/x
  3. Step 3: Cross multiply
    565,285.29x = 780,137.10 × 323,643.66
  4. Step 4: Simplify right side
    565,285.29x = 252,486,426,345.79
  5. Step 5: Solve for x
    x = 252,486,426,345.79/565,285.29
  6. Step 6: Final answer
    x = 446,653.10

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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.