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Finding the Fourth Proportional to 652,241.52, 899,712 and 410,140.80

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Solution

The fourth proportional to 652,241.52, 899,712 and 410,140.80 is: 565,754.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,241.52 : 899,712 = 410,140.80 : x
  2. Step 2: Convert to fraction form
    652,241.52/899,712 = 410,140.80/x
  3. Step 3: Cross multiply
    652,241.52x = 899,712 × 410,140.80
  4. Step 4: Simplify right side
    652,241.52x = 369,008,599,449.60
  5. Step 5: Solve for x
    x = 369,008,599,449.60/652,241.52
  6. Step 6: Final answer
    x = 565,754.54

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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.