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Finding the Fourth Proportional to 202,130.40, 302,612.40 and 196,298.40

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Solution

The fourth proportional to 202,130.40, 302,612.40 and 196,298.40 is: 293,881.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,130.40 : 302,612.40 = 196,298.40 : x
  2. Step 2: Convert to fraction form
    202,130.40/302,612.40 = 196,298.40/x
  3. Step 3: Cross multiply
    202,130.40x = 302,612.40 × 196,298.40
  4. Step 4: Simplify right side
    202,130.40x = 59,402,329,940.16
  5. Step 5: Solve for x
    x = 59,402,329,940.16/202,130.40
  6. Step 6: Final answer
    x = 293,881.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.