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Finding the Fourth Proportional to 447,564.04, 671,186.16 and 147,989.32

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Solution

The fourth proportional to 447,564.04, 671,186.16 and 147,989.32 is: 221,931.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,564.04 : 671,186.16 = 147,989.32 : x
  2. Step 2: Convert to fraction form
    447,564.04/671,186.16 = 147,989.32/x
  3. Step 3: Cross multiply
    447,564.04x = 671,186.16 × 147,989.32
  4. Step 4: Simplify right side
    447,564.04x = 99,328,383,411.81
  5. Step 5: Solve for x
    x = 99,328,383,411.81/447,564.04
  6. Step 6: Final answer
    x = 221,931.11

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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.