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Finding the Fourth Proportional to 309,993.80, 465,281.76 and 152,335.40

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Solution

The fourth proportional to 309,993.80, 465,281.76 and 152,335.40 is: 228,646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,993.80 : 465,281.76 = 152,335.40 : x
  2. Step 2: Convert to fraction form
    309,993.80/465,281.76 = 152,335.40/x
  3. Step 3: Cross multiply
    309,993.80x = 465,281.76 × 152,335.40
  4. Step 4: Simplify right side
    309,993.80x = 70,878,883,022.30
  5. Step 5: Solve for x
    x = 70,878,883,022.30/309,993.80
  6. Step 6: Final answer
    x = 228,646.13

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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.