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Finding the Fourth Proportional to 390,830.32, 585,846.96 and 154,041.52

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Solution

The fourth proportional to 390,830.32, 585,846.96 and 154,041.52 is: 230,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,830.32 : 585,846.96 = 154,041.52 : x
  2. Step 2: Convert to fraction form
    390,830.32/585,846.96 = 154,041.52/x
  3. Step 3: Cross multiply
    390,830.32x = 585,846.96 × 154,041.52
  4. Step 4: Simplify right side
    390,830.32x = 90,244,756,205.78
  5. Step 5: Solve for x
    x = 90,244,756,205.78/390,830.32
  6. Step 6: Final answer
    x = 230,905.21

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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.