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Finding the Fourth Proportional to 717,296.64, 989,899.95 and 411,459.27

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Solution

The fourth proportional to 717,296.64, 989,899.95 and 411,459.27 is: 567,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,296.64 : 989,899.95 = 411,459.27 : x
  2. Step 2: Convert to fraction form
    717,296.64/989,899.95 = 411,459.27/x
  3. Step 3: Cross multiply
    717,296.64x = 989,899.95 × 411,459.27
  4. Step 4: Simplify right side
    717,296.64x = 407,303,508,630.88
  5. Step 5: Solve for x
    x = 407,303,508,630.88/717,296.64
  6. Step 6: Final answer
    x = 567,831.34

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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.