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Finding the Fourth Proportional to 242,810.45, 364,320.80 and 130,359.43

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Solution

The fourth proportional to 242,810.45, 364,320.80 and 130,359.43 is: 195,595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,810.45 : 364,320.80 = 130,359.43 : x
  2. Step 2: Convert to fraction form
    242,810.45/364,320.80 = 130,359.43/x
  3. Step 3: Cross multiply
    242,810.45x = 364,320.80 × 130,359.43
  4. Step 4: Simplify right side
    242,810.45x = 47,492,651,825.14
  5. Step 5: Solve for x
    x = 47,492,651,825.14/242,810.45
  6. Step 6: Final answer
    x = 195,595.58

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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.