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Finding the Fourth Proportional to 289,335.55, 433,589.74 and 162,710

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Solution

The fourth proportional to 289,335.55, 433,589.74 and 162,710 is: 243,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,335.55 : 433,589.74 = 162,710 : x
  2. Step 2: Convert to fraction form
    289,335.55/433,589.74 = 162,710/x
  3. Step 3: Cross multiply
    289,335.55x = 433,589.74 × 162,710
  4. Step 4: Simplify right side
    289,335.55x = 70,549,386,595.40
  5. Step 5: Solve for x
    x = 70,549,386,595.40/289,335.55
  6. Step 6: Final answer
    x = 243,832.42

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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.