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Finding the Fourth Proportional to 423,303.90, 584,157.72 and 229,712.40

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Solution

The fourth proportional to 423,303.90, 584,157.72 and 229,712.40 is: 317,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,303.90 : 584,157.72 = 229,712.40 : x
  2. Step 2: Convert to fraction form
    423,303.90/584,157.72 = 229,712.40/x
  3. Step 3: Cross multiply
    423,303.90x = 584,157.72 × 229,712.40
  4. Step 4: Simplify right side
    423,303.90x = 134,188,271,839.73
  5. Step 5: Solve for x
    x = 134,188,271,839.73/423,303.90
  6. Step 6: Final answer
    x = 317,002.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.