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Finding the Fourth Proportional to 687,746,000.10, 1,031,619,000.15 and 442,857,987.30

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Solution

The fourth proportional to 687,746,000.10, 1,031,619,000.15 and 442,857,987.30 is: 664,286,980.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,746,000.10 : 1,031,619,000.15 = 442,857,987.30 : x
  2. Step 2: Convert to fraction form
    687,746,000.10/1,031,619,000.15 = 442,857,987.30/x
  3. Step 3: Cross multiply
    687,746,000.10x = 1,031,619,000.15 × 442,857,987.30
  4. Step 4: Simplify right side
    687,746,000.10x = 456,860,714,066,867,392
  5. Step 5: Solve for x
    x = 456,860,714,066,867,392/687,746,000.10
  6. Step 6: Final answer
    x = 664,286,980.95

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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.