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Finding the Fourth Proportional to 390,819.84, 586,163.52 and 110,271.36

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Solution

The fourth proportional to 390,819.84, 586,163.52 and 110,271.36 is: 165,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,819.84 : 586,163.52 = 110,271.36 : x
  2. Step 2: Convert to fraction form
    390,819.84/586,163.52 = 110,271.36/x
  3. Step 3: Cross multiply
    390,819.84x = 586,163.52 × 110,271.36
  4. Step 4: Simplify right side
    390,819.84x = 64,637,048,532.79
  5. Step 5: Solve for x
    x = 64,637,048,532.79/390,819.84
  6. Step 6: Final answer
    x = 165,388.35

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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.