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Finding the Fourth Proportional to 339,547.76, 509,182.92 and 147,434.48

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Solution

The fourth proportional to 339,547.76, 509,182.92 and 147,434.48 is: 221,091.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,547.76 : 509,182.92 = 147,434.48 : x
  2. Step 2: Convert to fraction form
    339,547.76/509,182.92 = 147,434.48/x
  3. Step 3: Cross multiply
    339,547.76x = 509,182.92 × 147,434.48
  4. Step 4: Simplify right side
    339,547.76x = 75,071,119,035.08
  5. Step 5: Solve for x
    x = 75,071,119,035.08/339,547.76
  6. Step 6: Final answer
    x = 221,091.49

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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.