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Finding the Fourth Proportional to 286,740.80, 430,111.20 and 99,620

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Solution

The fourth proportional to 286,740.80, 430,111.20 and 99,620 is: 149,430

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,740.80 : 430,111.20 = 99,620 : x
  2. Step 2: Convert to fraction form
    286,740.80/430,111.20 = 99,620/x
  3. Step 3: Cross multiply
    286,740.80x = 430,111.20 × 99,620
  4. Step 4: Simplify right side
    286,740.80x = 42,847,677,744
  5. Step 5: Solve for x
    x = 42,847,677,744/286,740.80
  6. Step 6: Final answer
    x = 149,430

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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.