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Finding the Fourth Proportional to 289,353.51, 399,303.50 and 160,291.58

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Solution

The fourth proportional to 289,353.51, 399,303.50 and 160,291.58 is: 221,199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,353.51 : 399,303.50 = 160,291.58 : x
  2. Step 2: Convert to fraction form
    289,353.51/399,303.50 = 160,291.58/x
  3. Step 3: Cross multiply
    289,353.51x = 399,303.50 × 160,291.58
  4. Step 4: Simplify right side
    289,353.51x = 64,004,986,116.55
  5. Step 5: Solve for x
    x = 64,004,986,116.55/289,353.51
  6. Step 6: Final answer
    x = 221,199.96

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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.