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Finding the Fourth Proportional to 291,522.72, 402,303.60 and 164,186.40

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Solution

The fourth proportional to 291,522.72, 402,303.60 and 164,186.40 is: 226,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,522.72 : 402,303.60 = 164,186.40 : x
  2. Step 2: Convert to fraction form
    291,522.72/402,303.60 = 164,186.40/x
  3. Step 3: Cross multiply
    291,522.72x = 402,303.60 × 164,186.40
  4. Step 4: Simplify right side
    291,522.72x = 66,052,779,791.04
  5. Step 5: Solve for x
    x = 66,052,779,791.04/291,522.72
  6. Step 6: Final answer
    x = 226,578.50

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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.