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Finding the Fourth Proportional to 417,729.28, 626,127.36 and 384,100.51

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Solution

The fourth proportional to 417,729.28, 626,127.36 and 384,100.51 is: 575,721.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,729.28 : 626,127.36 = 384,100.51 : x
  2. Step 2: Convert to fraction form
    417,729.28/626,127.36 = 384,100.51/x
  3. Step 3: Cross multiply
    417,729.28x = 626,127.36 × 384,100.51
  4. Step 4: Simplify right side
    417,729.28x = 240,495,835,295.26
  5. Step 5: Solve for x
    x = 240,495,835,295.26/417,729.28
  6. Step 6: Final answer
    x = 575,721.76

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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.