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Finding the Fourth Proportional to 648,438.84, 972,544.86 and 293,369.40

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Solution

The fourth proportional to 648,438.84, 972,544.86 and 293,369.40 is: 440,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,438.84 : 972,544.86 = 293,369.40 : x
  2. Step 2: Convert to fraction form
    648,438.84/972,544.86 = 293,369.40/x
  3. Step 3: Cross multiply
    648,438.84x = 972,544.86 × 293,369.40
  4. Step 4: Simplify right side
    648,438.84x = 285,314,902,051.28
  5. Step 5: Solve for x
    x = 285,314,902,051.28/648,438.84
  6. Step 6: Final answer
    x = 440,002.80

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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.