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Finding the Fourth Proportional to 280,835,998.40, 420,687,127.20 and 280,835,998.40

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Solution

The fourth proportional to 280,835,998.40, 420,687,127.20 and 280,835,998.40 is: 420,687,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,835,998.40 : 420,687,127.20 = 280,835,998.40 : x
  2. Step 2: Convert to fraction form
    280,835,998.40/420,687,127.20 = 280,835,998.40/x
  3. Step 3: Cross multiply
    280,835,998.40x = 420,687,127.20 × 280,835,998.40
  4. Step 4: Simplify right side
    280,835,998.40x = 118,144,089,381,239,776
  5. Step 5: Solve for x
    x = 118,144,089,381,239,776/280,835,998.40
  6. Step 6: Final answer
    x = 420,687,127.20

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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.