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Finding the Fourth Proportional to 430,866.66, 646,595.28 and 150,383.91

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Solution

The fourth proportional to 430,866.66, 646,595.28 and 150,383.91 is: 225,678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,866.66 : 646,595.28 = 150,383.91 : x
  2. Step 2: Convert to fraction form
    430,866.66/646,595.28 = 150,383.91/x
  3. Step 3: Cross multiply
    430,866.66x = 646,595.28 × 150,383.91
  4. Step 4: Simplify right side
    430,866.66x = 97,237,526,393.94
  5. Step 5: Solve for x
    x = 97,237,526,393.94/430,866.66
  6. Step 6: Final answer
    x = 225,678.93

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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.