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Finding the Fourth Proportional to 507,526.16, 761,408.60 and 147,704.77

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Solution

The fourth proportional to 507,526.16, 761,408.60 and 147,704.77 is: 221,591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,526.16 : 761,408.60 = 147,704.77 : x
  2. Step 2: Convert to fraction form
    507,526.16/761,408.60 = 147,704.77/x
  3. Step 3: Cross multiply
    507,526.16x = 761,408.60 × 147,704.77
  4. Step 4: Simplify right side
    507,526.16x = 112,463,682,139.02
  5. Step 5: Solve for x
    x = 112,463,682,139.02/507,526.16
  6. Step 6: Final answer
    x = 221,591.89

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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.