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Finding the Fourth Proportional to 285,476.20, 427,804.70 and 210,007.40

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Solution

The fourth proportional to 285,476.20, 427,804.70 and 210,007.40 is: 314,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,476.20 : 427,804.70 = 210,007.40 : x
  2. Step 2: Convert to fraction form
    285,476.20/427,804.70 = 210,007.40/x
  3. Step 3: Cross multiply
    285,476.20x = 427,804.70 × 210,007.40
  4. Step 4: Simplify right side
    285,476.20x = 89,842,152,754.78
  5. Step 5: Solve for x
    x = 89,842,152,754.78/285,476.20
  6. Step 6: Final answer
    x = 314,709.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.