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Finding the Fourth Proportional to 387,477.94, 581,222.82 and 147,605.15

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Solution

The fourth proportional to 387,477.94, 581,222.82 and 147,605.15 is: 221,409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,477.94 : 581,222.82 = 147,605.15 : x
  2. Step 2: Convert to fraction form
    387,477.94/581,222.82 = 147,605.15/x
  3. Step 3: Cross multiply
    387,477.94x = 581,222.82 × 147,605.15
  4. Step 4: Simplify right side
    387,477.94x = 85,791,481,529.52
  5. Step 5: Solve for x
    x = 85,791,481,529.52/387,477.94
  6. Step 6: Final answer
    x = 221,409.98

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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.