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Finding the Fourth Proportional to 509,308,340.40, 763,962,510.60 and 509,308,340.40

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Solution

The fourth proportional to 509,308,340.40, 763,962,510.60 and 509,308,340.40 is: 763,962,510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,308,340.40 : 763,962,510.60 = 509,308,340.40 : x
  2. Step 2: Convert to fraction form
    509,308,340.40/763,962,510.60 = 509,308,340.40/x
  3. Step 3: Cross multiply
    509,308,340.40x = 763,962,510.60 × 509,308,340.40
  4. Step 4: Simplify right side
    509,308,340.40x = 389,092,478,401,503,424
  5. Step 5: Solve for x
    x = 389,092,478,401,503,424/509,308,340.40
  6. Step 6: Final answer
    x = 763,962,510.60

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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.