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Finding the Fourth Proportional to 445,830.30, 668,842.65 and 146,259.90

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Solution

The fourth proportional to 445,830.30, 668,842.65 and 146,259.90 is: 219,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,830.30 : 668,842.65 = 146,259.90 : x
  2. Step 2: Convert to fraction form
    445,830.30/668,842.65 = 146,259.90/x
  3. Step 3: Cross multiply
    445,830.30x = 668,842.65 × 146,259.90
  4. Step 4: Simplify right side
    445,830.30x = 97,824,859,104.74
  5. Step 5: Solve for x
    x = 97,824,859,104.74/445,830.30
  6. Step 6: Final answer
    x = 219,421.74

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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.