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Finding the Fourth Proportional to 383,445.68, 575,170 and 117,205.16

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Solution

The fourth proportional to 383,445.68, 575,170 and 117,205.16 is: 175,808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,445.68 : 575,170 = 117,205.16 : x
  2. Step 2: Convert to fraction form
    383,445.68/575,170 = 117,205.16/x
  3. Step 3: Cross multiply
    383,445.68x = 575,170 × 117,205.16
  4. Step 4: Simplify right side
    383,445.68x = 67,412,891,877.20
  5. Step 5: Solve for x
    x = 67,412,891,877.20/383,445.68
  6. Step 6: Final answer
    x = 175,808.19

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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.