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Finding the Fourth Proportional to 314,764.68, 472,146.36 and 98,640

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Solution

The fourth proportional to 314,764.68, 472,146.36 and 98,640 is: 147,959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,764.68 : 472,146.36 = 98,640 : x
  2. Step 2: Convert to fraction form
    314,764.68/472,146.36 = 98,640/x
  3. Step 3: Cross multiply
    314,764.68x = 472,146.36 × 98,640
  4. Step 4: Simplify right side
    314,764.68x = 46,572,516,950.40
  5. Step 5: Solve for x
    x = 46,572,516,950.40/314,764.68
  6. Step 6: Final answer
    x = 147,959.79

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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.