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Finding the Fourth Proportional to 210,816.79, 290,929.47 and 115,323.48

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Solution

The fourth proportional to 210,816.79, 290,929.47 and 115,323.48 is: 159,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,816.79 : 290,929.47 = 115,323.48 : x
  2. Step 2: Convert to fraction form
    210,816.79/290,929.47 = 115,323.48/x
  3. Step 3: Cross multiply
    210,816.79x = 290,929.47 × 115,323.48
  4. Step 4: Simplify right side
    210,816.79x = 33,550,998,482.49
  5. Step 5: Solve for x
    x = 33,550,998,482.49/210,816.79
  6. Step 6: Final answer
    x = 159,147.66

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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.