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Finding the Fourth Proportional to 552,459.41, 828,685.47 and 142,128.09

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Solution

The fourth proportional to 552,459.41, 828,685.47 and 142,128.09 is: 213,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,459.41 : 828,685.47 = 142,128.09 : x
  2. Step 2: Convert to fraction form
    552,459.41/828,685.47 = 142,128.09/x
  3. Step 3: Cross multiply
    552,459.41x = 828,685.47 × 142,128.09
  4. Step 4: Simplify right side
    552,459.41x = 117,779,482,795.36
  5. Step 5: Solve for x
    x = 117,779,482,795.36/552,459.41
  6. Step 6: Final answer
    x = 213,191.20

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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.