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Finding the Fourth Proportional to 211,218.84, 291,740.94 and 170,978.04

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Solution

The fourth proportional to 211,218.84, 291,740.94 and 170,978.04 is: 236,159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,218.84 : 291,740.94 = 170,978.04 : x
  2. Step 2: Convert to fraction form
    211,218.84/291,740.94 = 170,978.04/x
  3. Step 3: Cross multiply
    211,218.84x = 291,740.94 × 170,978.04
  4. Step 4: Simplify right side
    211,218.84x = 49,881,294,108.96
  5. Step 5: Solve for x
    x = 49,881,294,108.96/211,218.84
  6. Step 6: Final answer
    x = 236,159.30

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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.