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Finding the Fourth Proportional to 565,283.64, 780,089.04 and 323,565

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Solution

The fourth proportional to 565,283.64, 780,089.04 and 323,565 is: 446,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,283.64 : 780,089.04 = 323,565 : x
  2. Step 2: Convert to fraction form
    565,283.64/780,089.04 = 323,565/x
  3. Step 3: Cross multiply
    565,283.64x = 780,089.04 × 323,565
  4. Step 4: Simplify right side
    565,283.64x = 252,409,510,227.60
  5. Step 5: Solve for x
    x = 252,409,510,227.60/565,283.64
  6. Step 6: Final answer
    x = 446,518.34

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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.