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Finding the Fourth Proportional to 565,384.32, 780,256.80 and 323,693.28

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Solution

The fourth proportional to 565,384.32, 780,256.80 and 323,693.28 is: 446,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,384.32 : 780,256.80 = 323,693.28 : x
  2. Step 2: Convert to fraction form
    565,384.32/780,256.80 = 323,693.28/x
  3. Step 3: Cross multiply
    565,384.32x = 780,256.80 × 323,693.28
  4. Step 4: Simplify right side
    565,384.32x = 252,563,882,834.30
  5. Step 5: Solve for x
    x = 252,563,882,834.30/565,384.32
  6. Step 6: Final answer
    x = 446,711.86

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1.5x scale

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.