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Finding the Fourth Proportional to 390,206.63, 585,041.01 and 153,576.47

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Solution

The fourth proportional to 390,206.63, 585,041.01 and 153,576.47 is: 230,258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,206.63 : 585,041.01 = 153,576.47 : x
  2. Step 2: Convert to fraction form
    390,206.63/585,041.01 = 153,576.47/x
  3. Step 3: Cross multiply
    390,206.63x = 585,041.01 × 153,576.47
  4. Step 4: Simplify right side
    390,206.63x = 89,848,533,121.03
  5. Step 5: Solve for x
    x = 89,848,533,121.03/390,206.63
  6. Step 6: Final answer
    x = 230,258.86

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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.