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Finding the Fourth Proportional to 309,718.71, 464,534.28 and 99,329.31

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Solution

The fourth proportional to 309,718.71, 464,534.28 and 99,329.31 is: 148,979.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,718.71 : 464,534.28 = 99,329.31 : x
  2. Step 2: Convert to fraction form
    309,718.71/464,534.28 = 99,329.31/x
  3. Step 3: Cross multiply
    309,718.71x = 464,534.28 × 99,329.31
  4. Step 4: Simplify right side
    309,718.71x = 46,141,869,503.75
  5. Step 5: Solve for x
    x = 46,141,869,503.75/309,718.71
  6. Step 6: Final answer
    x = 148,979.92

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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.