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Finding the Fourth Proportional to 509,895.58, 703,711.02 and 318,970.48

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Solution

The fourth proportional to 509,895.58, 703,711.02 and 318,970.48 is: 440,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,895.58 : 703,711.02 = 318,970.48 : x
  2. Step 2: Convert to fraction form
    509,895.58/703,711.02 = 318,970.48/x
  3. Step 3: Cross multiply
    509,895.58x = 703,711.02 × 318,970.48
  4. Step 4: Simplify right side
    509,895.58x = 224,463,041,830.69
  5. Step 5: Solve for x
    x = 224,463,041,830.69/509,895.58
  6. Step 6: Final answer
    x = 440,213.74

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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.