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Finding the Fourth Proportional to 298,290.57, 411,641.05 and 164,154.57

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Solution

The fourth proportional to 298,290.57, 411,641.05 and 164,154.57 is: 226,533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,290.57 : 411,641.05 = 164,154.57 : x
  2. Step 2: Convert to fraction form
    298,290.57/411,641.05 = 164,154.57/x
  3. Step 3: Cross multiply
    298,290.57x = 411,641.05 × 164,154.57
  4. Step 4: Simplify right side
    298,290.57x = 67,572,759,146.71
  5. Step 5: Solve for x
    x = 67,572,759,146.71/298,290.57
  6. Step 6: Final answer
    x = 226,533.34

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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.