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Finding the Fourth Proportional to 430,911.59, 646,662.63 and 150,428.84

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Solution

The fourth proportional to 430,911.59, 646,662.63 and 150,428.84 is: 225,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,911.59 : 646,662.63 = 150,428.84 : x
  2. Step 2: Convert to fraction form
    430,911.59/646,662.63 = 150,428.84/x
  3. Step 3: Cross multiply
    430,911.59x = 646,662.63 × 150,428.84
  4. Step 4: Simplify right side
    430,911.59x = 97,276,709,302.25
  5. Step 5: Solve for x
    x = 97,276,709,302.25/430,911.59
  6. Step 6: Final answer
    x = 225,746.33

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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.