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Finding the Fourth Proportional to 432,612.54, 648,918.81 and 282,978.63

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Solution

The fourth proportional to 432,612.54, 648,918.81 and 282,978.63 is: 424,467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,612.54 : 648,918.81 = 282,978.63 : x
  2. Step 2: Convert to fraction form
    432,612.54/648,918.81 = 282,978.63/x
  3. Step 3: Cross multiply
    432,612.54x = 648,918.81 × 282,978.63
  4. Step 4: Simplify right side
    432,612.54x = 183,630,155,835.03
  5. Step 5: Solve for x
    x = 183,630,155,835.03/432,612.54
  6. Step 6: Final answer
    x = 424,467.95

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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.