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Finding the Fourth Proportional to 390,271.80, 585,123.93 and 263,598.06

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Solution

The fourth proportional to 390,271.80, 585,123.93 and 263,598.06 is: 395,205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,271.80 : 585,123.93 = 263,598.06 : x
  2. Step 2: Convert to fraction form
    390,271.80/585,123.93 = 263,598.06/x
  3. Step 3: Cross multiply
    390,271.80x = 585,123.93 × 263,598.06
  4. Step 4: Simplify right side
    390,271.80x = 154,237,532,807.58
  5. Step 5: Solve for x
    x = 154,237,532,807.58/390,271.80
  6. Step 6: Final answer
    x = 395,205.43

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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.