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Finding the Fourth Proportional to 321,152.58, 442,941.06 and 219,260.16

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Solution

The fourth proportional to 321,152.58, 442,941.06 and 219,260.16 is: 302,408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,152.58 : 442,941.06 = 219,260.16 : x
  2. Step 2: Convert to fraction form
    321,152.58/442,941.06 = 219,260.16/x
  3. Step 3: Cross multiply
    321,152.58x = 442,941.06 × 219,260.16
  4. Step 4: Simplify right side
    321,152.58x = 97,119,327,686.17
  5. Step 5: Solve for x
    x = 97,119,327,686.17/321,152.58
  6. Step 6: Final answer
    x = 302,408.68

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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.