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Finding the Fourth Proportional to 291,590.96, 402,324.72 and 164,266.40

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Solution

The fourth proportional to 291,590.96, 402,324.72 and 164,266.40 is: 226,647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,590.96 : 402,324.72 = 164,266.40 : x
  2. Step 2: Convert to fraction form
    291,590.96/402,324.72 = 164,266.40/x
  3. Step 3: Cross multiply
    291,590.96x = 402,324.72 × 164,266.40
  4. Step 4: Simplify right side
    291,590.96x = 66,088,433,385.41
  5. Step 5: Solve for x
    x = 66,088,433,385.41/291,590.96
  6. Step 6: Final answer
    x = 226,647.74

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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.