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Finding the Fourth Proportional to 316,139.64, 474,208.92 and 147,603.48

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Solution

The fourth proportional to 316,139.64, 474,208.92 and 147,603.48 is: 221,404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,139.64 : 474,208.92 = 147,603.48 : x
  2. Step 2: Convert to fraction form
    316,139.64/474,208.92 = 147,603.48/x
  3. Step 3: Cross multiply
    316,139.64x = 474,208.92 × 147,603.48
  4. Step 4: Simplify right side
    316,139.64x = 69,994,886,839.04
  5. Step 5: Solve for x
    x = 69,994,886,839.04/316,139.64
  6. Step 6: Final answer
    x = 221,404.97

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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.