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Finding the Fourth Proportional to 380,274.89, 524,779.46 and 210,509.01

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Solution

The fourth proportional to 380,274.89, 524,779.46 and 210,509.01 is: 290,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,274.89 : 524,779.46 = 210,509.01 : x
  2. Step 2: Convert to fraction form
    380,274.89/524,779.46 = 210,509.01/x
  3. Step 3: Cross multiply
    380,274.89x = 524,779.46 × 210,509.01
  4. Step 4: Simplify right side
    380,274.89x = 110,470,803,540.39
  5. Step 5: Solve for x
    x = 110,470,803,540.39/380,274.89
  6. Step 6: Final answer
    x = 290,502.50

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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.