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Finding the Fourth Proportional to 390,636.80, 586,051.20 and 110,150.40

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Solution

The fourth proportional to 390,636.80, 586,051.20 and 110,150.40 is: 165,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,636.80 : 586,051.20 = 110,150.40 : x
  2. Step 2: Convert to fraction form
    390,636.80/586,051.20 = 110,150.40/x
  3. Step 3: Cross multiply
    390,636.80x = 586,051.20 × 110,150.40
  4. Step 4: Simplify right side
    390,636.80x = 64,553,774,100.48
  5. Step 5: Solve for x
    x = 64,553,774,100.48/390,636.80
  6. Step 6: Final answer
    x = 165,252.67

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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.