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Finding the Fourth Proportional to 310,172.40, 464,675.40 and 159,901.20

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Solution

The fourth proportional to 310,172.40, 464,675.40 and 159,901.20 is: 239,551.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,172.40 : 464,675.40 = 159,901.20 : x
  2. Step 2: Convert to fraction form
    310,172.40/464,675.40 = 159,901.20/x
  3. Step 3: Cross multiply
    310,172.40x = 464,675.40 × 159,901.20
  4. Step 4: Simplify right side
    310,172.40x = 74,302,154,070.48
  5. Step 5: Solve for x
    x = 74,302,154,070.48/310,172.40
  6. Step 6: Final answer
    x = 239,551.15

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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.