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Finding the Fourth Proportional to 262,807.10, 394,210.65 and 152,215.10

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Solution

The fourth proportional to 262,807.10, 394,210.65 and 152,215.10 is: 228,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,807.10 : 394,210.65 = 152,215.10 : x
  2. Step 2: Convert to fraction form
    262,807.10/394,210.65 = 152,215.10/x
  3. Step 3: Cross multiply
    262,807.10x = 394,210.65 × 152,215.10
  4. Step 4: Simplify right side
    262,807.10x = 60,004,813,510.82
  5. Step 5: Solve for x
    x = 60,004,813,510.82/262,807.10
  6. Step 6: Final answer
    x = 228,322.65

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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.