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Finding the Fourth Proportional to 407,987.06, 611,980.48 and 127,504.32

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Solution

The fourth proportional to 407,987.06, 611,980.48 and 127,504.32 is: 191,256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,987.06 : 611,980.48 = 127,504.32 : x
  2. Step 2: Convert to fraction form
    407,987.06/611,980.48 = 127,504.32/x
  3. Step 3: Cross multiply
    407,987.06x = 611,980.48 × 127,504.32
  4. Step 4: Simplify right side
    407,987.06x = 78,030,154,955.67
  5. Step 5: Solve for x
    x = 78,030,154,955.67/407,987.06
  6. Step 6: Final answer
    x = 191,256.45

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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.