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Finding the Fourth Proportional to 430,894.88, 646,637.52 and 150,412.16

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Solution

The fourth proportional to 430,894.88, 646,637.52 and 150,412.16 is: 225,721.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,894.88 : 646,637.52 = 150,412.16 : x
  2. Step 2: Convert to fraction form
    430,894.88/646,637.52 = 150,412.16/x
  3. Step 3: Cross multiply
    430,894.88x = 646,637.52 × 150,412.16
  4. Step 4: Simplify right side
    430,894.88x = 97,262,146,120.24
  5. Step 5: Solve for x
    x = 97,262,146,120.24/430,894.88
  6. Step 6: Final answer
    x = 225,721.29

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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.