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Finding the Fourth Proportional to 390,830.40, 585,982.80 and 154,051.20

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Solution

The fourth proportional to 390,830.40, 585,982.80 and 154,051.20 is: 230,973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,830.40 : 585,982.80 = 154,051.20 : x
  2. Step 2: Convert to fraction form
    390,830.40/585,982.80 = 154,051.20/x
  3. Step 3: Cross multiply
    390,830.40x = 585,982.80 × 154,051.20
  4. Step 4: Simplify right side
    390,830.40x = 90,271,353,519.36
  5. Step 5: Solve for x
    x = 90,271,353,519.36/390,830.40
  6. Step 6: Final answer
    x = 230,973.21

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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.