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Finding the Fourth Proportional to 345,389.90, 476,637.54 and 194,487.98

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Solution

The fourth proportional to 345,389.90, 476,637.54 and 194,487.98 is: 268,393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,389.90 : 476,637.54 = 194,487.98 : x
  2. Step 2: Convert to fraction form
    345,389.90/476,637.54 = 194,487.98/x
  3. Step 3: Cross multiply
    345,389.90x = 476,637.54 × 194,487.98
  4. Step 4: Simplify right side
    345,389.90x = 92,700,272,346.77
  5. Step 5: Solve for x
    x = 92,700,272,346.77/345,389.90
  6. Step 6: Final answer
    x = 268,393.12

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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.