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Finding the Fourth Proportional to 210,428.48, 315,643.56 and 52,656.48

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Solution

The fourth proportional to 210,428.48, 315,643.56 and 52,656.48 is: 78,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,428.48 : 315,643.56 = 52,656.48 : x
  2. Step 2: Convert to fraction form
    210,428.48/315,643.56 = 52,656.48/x
  3. Step 3: Cross multiply
    210,428.48x = 315,643.56 × 52,656.48
  4. Step 4: Simplify right side
    210,428.48x = 16,620,678,804.27
  5. Step 5: Solve for x
    x = 16,620,678,804.27/210,428.48
  6. Step 6: Final answer
    x = 78,984.93

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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.