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Finding the Fourth Proportional to 238,678.96, 358,089.48 and 98,446

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Solution

The fourth proportional to 238,678.96, 358,089.48 and 98,446 is: 147,698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,678.96 : 358,089.48 = 98,446 : x
  2. Step 2: Convert to fraction form
    238,678.96/358,089.48 = 98,446/x
  3. Step 3: Cross multiply
    238,678.96x = 358,089.48 × 98,446
  4. Step 4: Simplify right side
    238,678.96x = 35,252,476,948.08
  5. Step 5: Solve for x
    x = 35,252,476,948.08/238,678.96
  6. Step 6: Final answer
    x = 147,698.30

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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.