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Finding the Fourth Proportional to 312,574.49, 469,433.73 and 286,223.84

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Solution

The fourth proportional to 312,574.49, 469,433.73 and 286,223.84 is: 429,859.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,574.49 : 469,433.73 = 286,223.84 : x
  2. Step 2: Convert to fraction form
    312,574.49/469,433.73 = 286,223.84/x
  3. Step 3: Cross multiply
    312,574.49x = 469,433.73 × 286,223.84
  4. Step 4: Simplify right side
    312,574.49x = 134,363,124,826.12
  5. Step 5: Solve for x
    x = 134,363,124,826.12/312,574.49
  6. Step 6: Final answer
    x = 429,859.53

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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.