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Finding the Fourth Proportional to 210,478.49, 290,428.30 and 119,838.27

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Solution

The fourth proportional to 210,478.49, 290,428.30 and 119,838.27 is: 165,358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,478.49 : 290,428.30 = 119,838.27 : x
  2. Step 2: Convert to fraction form
    210,478.49/290,428.30 = 119,838.27/x
  3. Step 3: Cross multiply
    210,478.49x = 290,428.30 × 119,838.27
  4. Step 4: Simplify right side
    210,478.49x = 34,804,425,031.04
  5. Step 5: Solve for x
    x = 34,804,425,031.04/210,478.49
  6. Step 6: Final answer
    x = 165,358.58

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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.