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Finding the Fourth Proportional to 708,630,820.20, 1,062,946,230.30 and 678,019,818.60

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Solution

The fourth proportional to 708,630,820.20, 1,062,946,230.30 and 678,019,818.60 is: 1,017,029,727.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,630,820.20 : 1,062,946,230.30 = 678,019,818.60 : x
  2. Step 2: Convert to fraction form
    708,630,820.20/1,062,946,230.30 = 678,019,818.60/x
  3. Step 3: Cross multiply
    708,630,820.20x = 1,062,946,230.30 × 678,019,818.60
  4. Step 4: Simplify right side
    708,630,820.20x = 720,698,610,249,559,808
  5. Step 5: Solve for x
    x = 720,698,610,249,559,808/708,630,820.20
  6. Step 6: Final answer
    x = 1,017,029,727.90

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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.