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Finding the Fourth Proportional to 553,745.16, 830,034.54 and 287,222.76

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Solution

The fourth proportional to 553,745.16, 830,034.54 and 287,222.76 is: 430,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,745.16 : 830,034.54 = 287,222.76 : x
  2. Step 2: Convert to fraction form
    553,745.16/830,034.54 = 287,222.76/x
  3. Step 3: Cross multiply
    553,745.16x = 830,034.54 × 287,222.76
  4. Step 4: Simplify right side
    553,745.16x = 238,404,811,474.13
  5. Step 5: Solve for x
    x = 238,404,811,474.13/553,745.16
  6. Step 6: Final answer
    x = 430,531.64

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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.