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Finding the Fourth Proportional to 452,509.81, 678,852.29 and 172,005.19

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Solution

The fourth proportional to 452,509.81, 678,852.29 and 172,005.19 is: 258,041.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,509.81 : 678,852.29 = 172,005.19 : x
  2. Step 2: Convert to fraction form
    452,509.81/678,852.29 = 172,005.19/x
  3. Step 3: Cross multiply
    452,509.81x = 678,852.29 × 172,005.19
  4. Step 4: Simplify right side
    452,509.81x = 116,766,115,856.27
  5. Step 5: Solve for x
    x = 116,766,115,856.27/452,509.81
  6. Step 6: Final answer
    x = 258,041.07

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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.