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Finding the Fourth Proportional to 287,349.41, 430,359.82 and 277,384.90

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Solution

The fourth proportional to 287,349.41, 430,359.82 and 277,384.90 is: 415,436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,349.41 : 430,359.82 = 277,384.90 : x
  2. Step 2: Convert to fraction form
    287,349.41/430,359.82 = 277,384.90/x
  3. Step 3: Cross multiply
    287,349.41x = 430,359.82 × 277,384.90
  4. Step 4: Simplify right side
    287,349.41x = 119,375,313,058.43
  5. Step 5: Solve for x
    x = 119,375,313,058.43/287,349.41
  6. Step 6: Final answer
    x = 415,436.08

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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.