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Finding the Fourth Proportional to 432,783.90, 648,009.45 and 313,811.10

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Solution

The fourth proportional to 432,783.90, 648,009.45 and 313,811.10 is: 469,870.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,783.90 : 648,009.45 = 313,811.10 : x
  2. Step 2: Convert to fraction form
    432,783.90/648,009.45 = 313,811.10/x
  3. Step 3: Cross multiply
    432,783.90x = 648,009.45 × 313,811.10
  4. Step 4: Simplify right side
    432,783.90x = 203,352,558,314.90
  5. Step 5: Solve for x
    x = 203,352,558,314.90/432,783.90
  6. Step 6: Final answer
    x = 469,870.89

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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.