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Finding the Fourth Proportional to 632,635.60, 947,801.40 and 299,477.20

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Solution

The fourth proportional to 632,635.60, 947,801.40 and 299,477.20 is: 448,670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,635.60 : 947,801.40 = 299,477.20 : x
  2. Step 2: Convert to fraction form
    632,635.60/947,801.40 = 299,477.20/x
  3. Step 3: Cross multiply
    632,635.60x = 947,801.40 × 299,477.20
  4. Step 4: Simplify right side
    632,635.60x = 283,844,909,428.08
  5. Step 5: Solve for x
    x = 283,844,909,428.08/632,635.60
  6. Step 6: Final answer
    x = 448,670.47

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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.