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Finding the Fourth Proportional to 310,291.24, 465,509.76 and 99,921.28

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Solution

The fourth proportional to 310,291.24, 465,509.76 and 99,921.28 is: 149,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,291.24 : 465,509.76 = 99,921.28 : x
  2. Step 2: Convert to fraction form
    310,291.24/465,509.76 = 99,921.28/x
  3. Step 3: Cross multiply
    310,291.24x = 465,509.76 × 99,921.28
  4. Step 4: Simplify right side
    310,291.24x = 46,514,331,071.69
  5. Step 5: Solve for x
    x = 46,514,331,071.69/310,291.24
  6. Step 6: Final answer
    x = 149,905.40

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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.