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Finding the Fourth Proportional to 390,855.78, 586,384.73 and 228,886.61

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Solution

The fourth proportional to 390,855.78, 586,384.73 and 228,886.61 is: 343,389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,855.78 : 586,384.73 = 228,886.61 : x
  2. Step 2: Convert to fraction form
    390,855.78/586,384.73 = 228,886.61/x
  3. Step 3: Cross multiply
    390,855.78x = 586,384.73 × 228,886.61
  4. Step 4: Simplify right side
    390,855.78x = 134,215,608,929.11
  5. Step 5: Solve for x
    x = 134,215,608,929.11/390,855.78
  6. Step 6: Final answer
    x = 343,389.09

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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.