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Finding the Fourth Proportional to 565,238.79, 780,072.93 and 323,597.16

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Solution

The fourth proportional to 565,238.79, 780,072.93 and 323,597.16 is: 446,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,238.79 : 780,072.93 = 323,597.16 : x
  2. Step 2: Convert to fraction form
    565,238.79/780,072.93 = 323,597.16/x
  3. Step 3: Cross multiply
    565,238.79x = 780,072.93 × 323,597.16
  4. Step 4: Simplify right side
    565,238.79x = 252,429,384,740.88
  5. Step 5: Solve for x
    x = 252,429,384,740.88/565,238.79
  6. Step 6: Final answer
    x = 446,588.93

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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.