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Finding the Fourth Proportional to 305,223.99, 457,901.59 and 102,840.20

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Solution

The fourth proportional to 305,223.99, 457,901.59 and 102,840.20 is: 154,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,223.99 : 457,901.59 = 102,840.20 : x
  2. Step 2: Convert to fraction form
    305,223.99/457,901.59 = 102,840.20/x
  3. Step 3: Cross multiply
    305,223.99x = 457,901.59 × 102,840.20
  4. Step 4: Simplify right side
    305,223.99x = 47,090,691,095.92
  5. Step 5: Solve for x
    x = 47,090,691,095.92/305,223.99
  6. Step 6: Final answer
    x = 154,282.40

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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.