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Finding the Fourth Proportional to 383,041.81, 528,592.74 and 210,956.50

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Solution

The fourth proportional to 383,041.81, 528,592.74 and 210,956.50 is: 291,117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,041.81 : 528,592.74 = 210,956.50 : x
  2. Step 2: Convert to fraction form
    383,041.81/528,592.74 = 210,956.50/x
  3. Step 3: Cross multiply
    383,041.81x = 528,592.74 × 210,956.50
  4. Step 4: Simplify right side
    383,041.81x = 111,510,074,225.46
  5. Step 5: Solve for x
    x = 111,510,074,225.46/383,041.81
  6. Step 6: Final answer
    x = 291,117.24

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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.