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Finding the Fourth Proportional to 225,009.88, 310,312.29 and 186,708.49

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Solution

The fourth proportional to 225,009.88, 310,312.29 and 186,708.49 is: 257,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,009.88 : 310,312.29 = 186,708.49 : x
  2. Step 2: Convert to fraction form
    225,009.88/310,312.29 = 186,708.49/x
  3. Step 3: Cross multiply
    225,009.88x = 310,312.29 × 186,708.49
  4. Step 4: Simplify right side
    225,009.88x = 57,937,939,094.34
  5. Step 5: Solve for x
    x = 57,937,939,094.34/225,009.88
  6. Step 6: Final answer
    x = 257,490.64

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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.