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Finding the Fourth Proportional to 501,205.61, 751,808.21 and 146,219.46

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Solution

The fourth proportional to 501,205.61, 751,808.21 and 146,219.46 is: 219,329.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,205.61 : 751,808.21 = 146,219.46 : x
  2. Step 2: Convert to fraction form
    501,205.61/751,808.21 = 146,219.46/x
  3. Step 3: Cross multiply
    501,205.61x = 751,808.21 × 146,219.46
  4. Step 4: Simplify right side
    501,205.61x = 109,928,989,758.67
  5. Step 5: Solve for x
    x = 109,928,989,758.67/501,205.61
  6. Step 6: Final answer
    x = 219,329.13

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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.