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Finding the Fourth Proportional to 291,574.17, 402,370.56 and 164,290.77

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Solution

The fourth proportional to 291,574.17, 402,370.56 and 164,290.77 is: 226,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,574.17 : 402,370.56 = 164,290.77 : x
  2. Step 2: Convert to fraction form
    291,574.17/402,370.56 = 164,290.77/x
  3. Step 3: Cross multiply
    291,574.17x = 402,370.56 × 164,290.77
  4. Step 4: Simplify right side
    291,574.17x = 66,105,769,127.73
  5. Step 5: Solve for x
    x = 66,105,769,127.73/291,574.17
  6. Step 6: Final answer
    x = 226,720.25

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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.