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Finding the Fourth Proportional to 341,678.42, 513,044.35 and 289,061.78

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Solution

The fourth proportional to 341,678.42, 513,044.35 and 289,061.78 is: 434,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,678.42 : 513,044.35 = 289,061.78 : x
  2. Step 2: Convert to fraction form
    341,678.42/513,044.35 = 289,061.78/x
  3. Step 3: Cross multiply
    341,678.42x = 513,044.35 × 289,061.78
  4. Step 4: Simplify right side
    341,678.42x = 148,301,511,584.63
  5. Step 5: Solve for x
    x = 148,301,511,584.63/341,678.42
  6. Step 6: Final answer
    x = 434,038.28

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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.