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Finding the Fourth Proportional to 260,010,401.80, 390,015,602.70 and 87,429,857.80

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Solution

The fourth proportional to 260,010,401.80, 390,015,602.70 and 87,429,857.80 is: 131,144,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,010,401.80 : 390,015,602.70 = 87,429,857.80 : x
  2. Step 2: Convert to fraction form
    260,010,401.80/390,015,602.70 = 87,429,857.80/x
  3. Step 3: Cross multiply
    260,010,401.80x = 390,015,602.70 × 87,429,857.80
  4. Step 4: Simplify right side
    260,010,401.80x = 34,099,008,683,842,292
  5. Step 5: Solve for x
    x = 34,099,008,683,842,292/260,010,401.80
  6. Step 6: Final answer
    x = 131,144,786.70

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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.