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Finding the Fourth Proportional to 310,782.58, 428,875.61 and 174,816.53

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Solution

The fourth proportional to 310,782.58, 428,875.61 and 174,816.53 is: 241,244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,782.58 : 428,875.61 = 174,816.53 : x
  2. Step 2: Convert to fraction form
    310,782.58/428,875.61 = 174,816.53/x
  3. Step 3: Cross multiply
    310,782.58x = 428,875.61 × 174,816.53
  4. Step 4: Simplify right side
    310,782.58x = 74,974,545,941.83
  5. Step 5: Solve for x
    x = 74,974,545,941.83/310,782.58
  6. Step 6: Final answer
    x = 241,244.36

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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.