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Finding the Fourth Proportional to 489,908,078.40, 734,862,117.60 and 217,810,286.40

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Solution

The fourth proportional to 489,908,078.40, 734,862,117.60 and 217,810,286.40 is: 326,715,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,908,078.40 : 734,862,117.60 = 217,810,286.40 : x
  2. Step 2: Convert to fraction form
    489,908,078.40/734,862,117.60 = 217,810,286.40/x
  3. Step 3: Cross multiply
    489,908,078.40x = 734,862,117.60 × 217,810,286.40
  4. Step 4: Simplify right side
    489,908,078.40x = 160,060,528,298,966,496
  5. Step 5: Solve for x
    x = 160,060,528,298,966,496/489,908,078.40
  6. Step 6: Final answer
    x = 326,715,429.60

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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.