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Finding the Fourth Proportional to 353,852.90, 488,357.34 and 210,613.40

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Solution

The fourth proportional to 353,852.90, 488,357.34 and 210,613.40 is: 290,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,852.90 : 488,357.34 = 210,613.40 : x
  2. Step 2: Convert to fraction form
    353,852.90/488,357.34 = 210,613.40/x
  3. Step 3: Cross multiply
    353,852.90x = 488,357.34 × 210,613.40
  4. Step 4: Simplify right side
    353,852.90x = 102,854,599,792.36
  5. Step 5: Solve for x
    x = 102,854,599,792.36/353,852.90
  6. Step 6: Final answer
    x = 290,670.50

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1.5x scale

Why These Related Problems?

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