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Finding the Fourth Proportional to 210,321.61, 290,242.33 and 114,828.30

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Solution

The fourth proportional to 210,321.61, 290,242.33 and 114,828.30 is: 158,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,321.61 : 290,242.33 = 114,828.30 : x
  2. Step 2: Convert to fraction form
    210,321.61/290,242.33 = 114,828.30/x
  3. Step 3: Cross multiply
    210,321.61x = 290,242.33 × 114,828.30
  4. Step 4: Simplify right side
    210,321.61x = 33,328,033,341.94
  5. Step 5: Solve for x
    x = 33,328,033,341.94/210,321.61
  6. Step 6: Final answer
    x = 158,462.24

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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.