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Finding the Fourth Proportional to 509,058.84, 702,416.91 and 294,218.91

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Solution

The fourth proportional to 509,058.84, 702,416.91 and 294,218.91 is: 405,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,058.84 : 702,416.91 = 294,218.91 : x
  2. Step 2: Convert to fraction form
    509,058.84/702,416.91 = 294,218.91/x
  3. Step 3: Cross multiply
    509,058.84x = 702,416.91 × 294,218.91
  4. Step 4: Simplify right side
    509,058.84x = 206,664,337,625.77
  5. Step 5: Solve for x
    x = 206,664,337,625.77/509,058.84
  6. Step 6: Final answer
    x = 405,973.38

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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.