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Finding the Fourth Proportional to 522,141.80, 719,785.74 and 407,291.49

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Solution

The fourth proportional to 522,141.80, 719,785.74 and 407,291.49 is: 561,461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,141.80 : 719,785.74 = 407,291.49 : x
  2. Step 2: Convert to fraction form
    522,141.80/719,785.74 = 407,291.49/x
  3. Step 3: Cross multiply
    522,141.80x = 719,785.74 × 407,291.49
  4. Step 4: Simplify right side
    522,141.80x = 293,162,608,052.70
  5. Step 5: Solve for x
    x = 293,162,608,052.70/522,141.80
  6. Step 6: Final answer
    x = 561,461.68

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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.