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Finding the Fourth Proportional to 553,400.22, 828,225.32 and 340,303.07

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Solution

The fourth proportional to 553,400.22, 828,225.32 and 340,303.07 is: 509,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,400.22 : 828,225.32 = 340,303.07 : x
  2. Step 2: Convert to fraction form
    553,400.22/828,225.32 = 340,303.07/x
  3. Step 3: Cross multiply
    553,400.22x = 828,225.32 × 340,303.07
  4. Step 4: Simplify right side
    553,400.22x = 281,847,613,205.09
  5. Step 5: Solve for x
    x = 281,847,613,205.09/553,400.22
  6. Step 6: Final answer
    x = 509,301.59

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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.