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Finding the Fourth Proportional to 347,678.34, 479,756.43 and 194,695.26

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Solution

The fourth proportional to 347,678.34, 479,756.43 and 194,695.26 is: 268,657.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,678.34 : 479,756.43 = 194,695.26 : x
  2. Step 2: Convert to fraction form
    347,678.34/479,756.43 = 194,695.26/x
  3. Step 3: Cross multiply
    347,678.34x = 479,756.43 × 194,695.26
  4. Step 4: Simplify right side
    347,678.34x = 93,406,302,875.52
  5. Step 5: Solve for x
    x = 93,406,302,875.52/347,678.34
  6. Step 6: Final answer
    x = 268,657.24

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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.