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Finding the Fourth Proportional to 360,931.70, 498,041.70 and 208,019.36

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Solution

The fourth proportional to 360,931.70, 498,041.70 and 208,019.36 is: 287,041.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,931.70 : 498,041.70 = 208,019.36 : x
  2. Step 2: Convert to fraction form
    360,931.70/498,041.70 = 208,019.36/x
  3. Step 3: Cross multiply
    360,931.70x = 498,041.70 × 208,019.36
  4. Step 4: Simplify right side
    360,931.70x = 103,602,315,687.31
  5. Step 5: Solve for x
    x = 103,602,315,687.31/360,931.70
  6. Step 6: Final answer
    x = 287,041.33

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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.