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Finding the Fourth Proportional to 549,665.40, 824,643.90 and 194,642.40

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Solution

The fourth proportional to 549,665.40, 824,643.90 and 194,642.40 is: 292,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,665.40 : 824,643.90 = 194,642.40 : x
  2. Step 2: Convert to fraction form
    549,665.40/824,643.90 = 194,642.40/x
  3. Step 3: Cross multiply
    549,665.40x = 824,643.90 × 194,642.40
  4. Step 4: Simplify right side
    549,665.40x = 160,510,667,841.36
  5. Step 5: Solve for x
    x = 160,510,667,841.36/549,665.40
  6. Step 6: Final answer
    x = 292,015.23

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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.