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Finding the Fourth Proportional to 524,456.40, 786,166.20 and 208,491.60

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Solution

The fourth proportional to 524,456.40, 786,166.20 and 208,491.60 is: 312,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,456.40 : 786,166.20 = 208,491.60 : x
  2. Step 2: Convert to fraction form
    524,456.40/786,166.20 = 208,491.60/x
  3. Step 3: Cross multiply
    524,456.40x = 786,166.20 × 208,491.60
  4. Step 4: Simplify right side
    524,456.40x = 163,909,048,903.92
  5. Step 5: Solve for x
    x = 163,909,048,903.92/524,456.40
  6. Step 6: Final answer
    x = 312,531.32

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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.