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Finding the Fourth Proportional to 210,578.84, 290,598.10 and 115,085.52

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Solution

The fourth proportional to 210,578.84, 290,598.10 and 115,085.52 is: 158,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,578.84 : 290,598.10 = 115,085.52 : x
  2. Step 2: Convert to fraction form
    210,578.84/290,598.10 = 115,085.52/x
  3. Step 3: Cross multiply
    210,578.84x = 290,598.10 × 115,085.52
  4. Step 4: Simplify right side
    210,578.84x = 33,443,633,449.51
  5. Step 5: Solve for x
    x = 33,443,633,449.51/210,578.84
  6. Step 6: Final answer
    x = 158,817.64

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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.