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Finding the Fourth Proportional to 553,611, 830,121.24 and 286,709.52

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Solution

The fourth proportional to 553,611, 830,121.24 and 286,709.52 is: 429,911.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,611 : 830,121.24 = 286,709.52 : x
  2. Step 2: Convert to fraction form
    553,611/830,121.24 = 286,709.52/x
  3. Step 3: Cross multiply
    553,611x = 830,121.24 × 286,709.52
  4. Step 4: Simplify right side
    553,611x = 238,003,662,262.21
  5. Step 5: Solve for x
    x = 238,003,662,262.21/553,611
  6. Step 6: Final answer
    x = 429,911.37

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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.