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Finding the Fourth Proportional to 402,429.12, 603,701.64 and 121,968.24

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Solution

The fourth proportional to 402,429.12, 603,701.64 and 121,968.24 is: 182,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,429.12 : 603,701.64 = 121,968.24 : x
  2. Step 2: Convert to fraction form
    402,429.12/603,701.64 = 121,968.24/x
  3. Step 3: Cross multiply
    402,429.12x = 603,701.64 × 121,968.24
  4. Step 4: Simplify right side
    402,429.12x = 73,632,426,515.91
  5. Step 5: Solve for x
    x = 73,632,426,515.91/402,429.12
  6. Step 6: Final answer
    x = 182,969.93

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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.