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Finding the Fourth Proportional to 489,053.10, 685,140.90 and 489,053.10

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Solution

The fourth proportional to 489,053.10, 685,140.90 and 489,053.10 is: 685,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,053.10 : 685,140.90 = 489,053.10 : x
  2. Step 2: Convert to fraction form
    489,053.10/685,140.90 = 489,053.10/x
  3. Step 3: Cross multiply
    489,053.10x = 685,140.90 × 489,053.10
  4. Step 4: Simplify right side
    489,053.10x = 335,070,281,081.79
  5. Step 5: Solve for x
    x = 335,070,281,081.79/489,053.10
  6. Step 6: Final answer
    x = 685,140.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.