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Finding the Fourth Proportional to 215,460, 297,328.80 and 119,966.64

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Solution

The fourth proportional to 215,460, 297,328.80 and 119,966.64 is: 165,550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,460 : 297,328.80 = 119,966.64 : x
  2. Step 2: Convert to fraction form
    215,460/297,328.80 = 119,966.64/x
  3. Step 3: Cross multiply
    215,460x = 297,328.80 × 119,966.64
  4. Step 4: Simplify right side
    215,460x = 35,669,537,111.23
  5. Step 5: Solve for x
    x = 35,669,537,111.23/215,460
  6. Step 6: Final answer
    x = 165,550.62

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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.