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Finding the Fourth Proportional to 854,191, 1,178,681.20 and 472,165.84

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Solution

The fourth proportional to 854,191, 1,178,681.20 and 472,165.84 is: 651,532.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,191 : 1,178,681.20 = 472,165.84 : x
  2. Step 2: Convert to fraction form
    854,191/1,178,681.20 = 472,165.84/x
  3. Step 3: Cross multiply
    854,191x = 1,178,681.20 × 472,165.84
  4. Step 4: Simplify right side
    854,191x = 556,532,998,890.21
  5. Step 5: Solve for x
    x = 556,532,998,890.21/854,191
  6. Step 6: Final answer
    x = 651,532.27

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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.