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Finding the Fourth Proportional to 809,692,671.60, 1,214,539,007.40 and 503,582,655.60

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Solution

The fourth proportional to 809,692,671.60, 1,214,539,007.40 and 503,582,655.60 is: 755,373,983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,692,671.60 : 1,214,539,007.40 = 503,582,655.60 : x
  2. Step 2: Convert to fraction form
    809,692,671.60/1,214,539,007.40 = 503,582,655.60/x
  3. Step 3: Cross multiply
    809,692,671.60x = 1,214,539,007.40 × 503,582,655.60
  4. Step 4: Simplify right side
    809,692,671.60x = 611,620,778,676,280,192
  5. Step 5: Solve for x
    x = 611,620,778,676,280,192/809,692,671.60
  6. Step 6: Final answer
    x = 755,373,983.40

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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.