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Finding the Fourth Proportional to 489,396,281.80, 734,094,422.70 and 282,488,585.80

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Solution

The fourth proportional to 489,396,281.80, 734,094,422.70 and 282,488,585.80 is: 423,732,878.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,396,281.80 : 734,094,422.70 = 282,488,585.80 : x
  2. Step 2: Convert to fraction form
    489,396,281.80/734,094,422.70 = 282,488,585.80/x
  3. Step 3: Cross multiply
    489,396,281.80x = 734,094,422.70 × 282,488,585.80
  4. Step 4: Simplify right side
    489,396,281.80x = 207,373,295,312,190,432
  5. Step 5: Solve for x
    x = 207,373,295,312,190,432/489,396,281.80
  6. Step 6: Final answer
    x = 423,732,878.70

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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.