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Finding the Fourth Proportional to 310,125.36, 464,892.80 and 99,615.72

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Solution

The fourth proportional to 310,125.36, 464,892.80 and 99,615.72 is: 149,328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,125.36 : 464,892.80 = 99,615.72 : x
  2. Step 2: Convert to fraction form
    310,125.36/464,892.80 = 99,615.72/x
  3. Step 3: Cross multiply
    310,125.36x = 464,892.80 × 99,615.72
  4. Step 4: Simplify right side
    310,125.36x = 46,310,630,994.82
  5. Step 5: Solve for x
    x = 46,310,630,994.82/310,125.36
  6. Step 6: Final answer
    x = 149,328.75

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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.