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Finding the Fourth Proportional to 589,011.84, 812,856 and 320,749.44

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Solution

The fourth proportional to 589,011.84, 812,856 and 320,749.44 is: 442,644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,011.84 : 812,856 = 320,749.44 : x
  2. Step 2: Convert to fraction form
    589,011.84/812,856 = 320,749.44/x
  3. Step 3: Cross multiply
    589,011.84x = 812,856 × 320,749.44
  4. Step 4: Simplify right side
    589,011.84x = 260,723,106,800.64
  5. Step 5: Solve for x
    x = 260,723,106,800.64/589,011.84
  6. Step 6: Final answer
    x = 442,644.93

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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.