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Finding the Fourth Proportional to 306,708, 423,017.23 and 199,312.53

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Solution

The fourth proportional to 306,708, 423,017.23 and 199,312.53 is: 274,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,708 : 423,017.23 = 199,312.53 : x
  2. Step 2: Convert to fraction form
    306,708/423,017.23 = 199,312.53/x
  3. Step 3: Cross multiply
    306,708x = 423,017.23 × 199,312.53
  4. Step 4: Simplify right side
    306,708x = 84,312,634,344.89
  5. Step 5: Solve for x
    x = 84,312,634,344.89/306,708
  6. Step 6: Final answer
    x = 274,895.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.