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Finding the Fourth Proportional to 386,094.51, 578,733.43 and 142,779.23

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Solution

The fourth proportional to 386,094.51, 578,733.43 and 142,779.23 is: 214,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,094.51 : 578,733.43 = 142,779.23 : x
  2. Step 2: Convert to fraction form
    386,094.51/578,733.43 = 142,779.23/x
  3. Step 3: Cross multiply
    386,094.51x = 578,733.43 × 142,779.23
  4. Step 4: Simplify right side
    386,094.51x = 82,631,109,903.10
  5. Step 5: Solve for x
    x = 82,631,109,903.10/386,094.51
  6. Step 6: Final answer
    x = 214,017.83

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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.