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Finding the Fourth Proportional to 309,437.60, 463,810.80 and 176,381.60

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Solution

The fourth proportional to 309,437.60, 463,810.80 and 176,381.60 is: 264,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,437.60 : 463,810.80 = 176,381.60 : x
  2. Step 2: Convert to fraction form
    309,437.60/463,810.80 = 176,381.60/x
  3. Step 3: Cross multiply
    309,437.60x = 463,810.80 × 176,381.60
  4. Step 4: Simplify right side
    309,437.60x = 81,807,691,001.28
  5. Step 5: Solve for x
    x = 81,807,691,001.28/309,437.60
  6. Step 6: Final answer
    x = 264,375.41

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1.5x scale

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.