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Finding the Fourth Proportional to 429,988.40, 644,807.64 and 193,267.52

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Solution

The fourth proportional to 429,988.40, 644,807.64 and 193,267.52 is: 289,822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,988.40 : 644,807.64 = 193,267.52 : x
  2. Step 2: Convert to fraction form
    429,988.40/644,807.64 = 193,267.52/x
  3. Step 3: Cross multiply
    429,988.40x = 644,807.64 × 193,267.52
  4. Step 4: Simplify right side
    429,988.40x = 124,620,373,459.85
  5. Step 5: Solve for x
    x = 124,620,373,459.85/429,988.40
  6. Step 6: Final answer
    x = 289,822.64

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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.