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Finding the Fourth Proportional to 664,271,715.20, 996,407,572.80 and 255,341,206.40

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Solution

The fourth proportional to 664,271,715.20, 996,407,572.80 and 255,341,206.40 is: 383,011,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,271,715.20 : 996,407,572.80 = 255,341,206.40 : x
  2. Step 2: Convert to fraction form
    664,271,715.20/996,407,572.80 = 255,341,206.40/x
  3. Step 3: Cross multiply
    664,271,715.20x = 996,407,572.80 × 255,341,206.40
  4. Step 4: Simplify right side
    664,271,715.20x = 254,423,911,704,847,808
  5. Step 5: Solve for x
    x = 254,423,911,704,847,808/664,271,715.20
  6. Step 6: Final answer
    x = 383,011,809.60

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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.