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Finding the Fourth Proportional to 686,592,648.20, 1,029,888,972.30 and 611,345,851.40

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Solution

The fourth proportional to 686,592,648.20, 1,029,888,972.30 and 611,345,851.40 is: 917,018,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,592,648.20 : 1,029,888,972.30 = 611,345,851.40 : x
  2. Step 2: Convert to fraction form
    686,592,648.20/1,029,888,972.30 = 611,345,851.40/x
  3. Step 3: Cross multiply
    686,592,648.20x = 1,029,888,972.30 × 611,345,851.40
  4. Step 4: Simplify right side
    686,592,648.20x = 629,618,350,618,214,400
  5. Step 5: Solve for x
    x = 629,618,350,618,214,400/686,592,648.20
  6. Step 6: Final answer
    x = 917,018,777.10

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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.