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Finding the Fourth Proportional to 535,816.40, 803,724.60 and 409,845.20

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Solution

The fourth proportional to 535,816.40, 803,724.60 and 409,845.20 is: 614,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,816.40 : 803,724.60 = 409,845.20 : x
  2. Step 2: Convert to fraction form
    535,816.40/803,724.60 = 409,845.20/x
  3. Step 3: Cross multiply
    535,816.40x = 803,724.60 × 409,845.20
  4. Step 4: Simplify right side
    535,816.40x = 329,402,669,431.92
  5. Step 5: Solve for x
    x = 329,402,669,431.92/535,816.40
  6. Step 6: Final answer
    x = 614,767.80

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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.