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Finding the Fourth Proportional to 432,417.60, 646,876.80 and 379,929.60

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Solution

The fourth proportional to 432,417.60, 646,876.80 and 379,929.60 is: 568,357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,417.60 : 646,876.80 = 379,929.60 : x
  2. Step 2: Convert to fraction form
    432,417.60/646,876.80 = 379,929.60/x
  3. Step 3: Cross multiply
    432,417.60x = 646,876.80 × 379,929.60
  4. Step 4: Simplify right side
    432,417.60x = 245,767,643,873.28
  5. Step 5: Solve for x
    x = 245,767,643,873.28/432,417.60
  6. Step 6: Final answer
    x = 568,357.17

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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.