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Finding the Fourth Proportional to 509,476.50, 702,336.57 and 356,038.31

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Solution

The fourth proportional to 509,476.50, 702,336.57 and 356,038.31 is: 490,815.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,476.50 : 702,336.57 = 356,038.31 : x
  2. Step 2: Convert to fraction form
    509,476.50/702,336.57 = 356,038.31/x
  3. Step 3: Cross multiply
    509,476.50x = 702,336.57 × 356,038.31
  4. Step 4: Simplify right side
    509,476.50x = 250,058,725,434.00
  5. Step 5: Solve for x
    x = 250,058,725,434.00/509,476.50
  6. Step 6: Final answer
    x = 490,815.03

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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.