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Finding the Fourth Proportional to 686,594,659.70, 1,029,891,989.55 and 255,683,990.90

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Solution

The fourth proportional to 686,594,659.70, 1,029,891,989.55 and 255,683,990.90 is: 383,525,986.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,594,659.70 : 1,029,891,989.55 = 255,683,990.90 : x
  2. Step 2: Convert to fraction form
    686,594,659.70/1,029,891,989.55 = 255,683,990.90/x
  3. Step 3: Cross multiply
    686,594,659.70x = 1,029,891,989.55 × 255,683,990.90
  4. Step 4: Simplify right side
    686,594,659.70x = 263,326,894,084,085,088
  5. Step 5: Solve for x
    x = 263,326,894,084,085,088/686,594,659.70
  6. Step 6: Final answer
    x = 383,525,986.35

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1.5x scale

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.