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Finding the Fourth Proportional to 299,206.19, 412,904.12 and 163,240.22

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Solution

The fourth proportional to 299,206.19, 412,904.12 and 163,240.22 is: 225,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,206.19 : 412,904.12 = 163,240.22 : x
  2. Step 2: Convert to fraction form
    299,206.19/412,904.12 = 163,240.22/x
  3. Step 3: Cross multiply
    299,206.19x = 412,904.12 × 163,240.22
  4. Step 4: Simplify right side
    299,206.19x = 67,402,559,603.77
  5. Step 5: Solve for x
    x = 67,402,559,603.77/299,206.19
  6. Step 6: Final answer
    x = 225,271.28

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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.