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Finding the Fourth Proportional to 353,120.80, 529,681.20 and 212,807.20

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Solution

The fourth proportional to 353,120.80, 529,681.20 and 212,807.20 is: 319,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,120.80 : 529,681.20 = 212,807.20 : x
  2. Step 2: Convert to fraction form
    353,120.80/529,681.20 = 212,807.20/x
  3. Step 3: Cross multiply
    353,120.80x = 529,681.20 × 212,807.20
  4. Step 4: Simplify right side
    353,120.80x = 112,719,973,064.64
  5. Step 5: Solve for x
    x = 112,719,973,064.64/353,120.80
  6. Step 6: Final answer
    x = 319,210.80

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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.