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Finding the Fourth Proportional to 314,802.78, 472,215.69 and 127,810.14

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Solution

The fourth proportional to 314,802.78, 472,215.69 and 127,810.14 is: 191,719.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,802.78 : 472,215.69 = 127,810.14 : x
  2. Step 2: Convert to fraction form
    314,802.78/472,215.69 = 127,810.14/x
  3. Step 3: Cross multiply
    314,802.78x = 472,215.69 × 127,810.14
  4. Step 4: Simplify right side
    314,802.78x = 60,353,953,449.10
  5. Step 5: Solve for x
    x = 60,353,953,449.10/314,802.78
  6. Step 6: Final answer
    x = 191,719.89

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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.