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Finding the Fourth Proportional to 310,326.40, 465,489.60 and 152,862.40

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Solution

The fourth proportional to 310,326.40, 465,489.60 and 152,862.40 is: 229,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,326.40 : 465,489.60 = 152,862.40 : x
  2. Step 2: Convert to fraction form
    310,326.40/465,489.60 = 152,862.40/x
  3. Step 3: Cross multiply
    310,326.40x = 465,489.60 × 152,862.40
  4. Step 4: Simplify right side
    310,326.40x = 71,155,857,431.04
  5. Step 5: Solve for x
    x = 71,155,857,431.04/310,326.40
  6. Step 6: Final answer
    x = 229,293.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.