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Finding the Fourth Proportional to 709,038,848.46, 978,636,869.64 and 415,777,894.86

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Solution

The fourth proportional to 709,038,848.46, 978,636,869.64 and 415,777,894.86 is: 573,869,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,038,848.46 : 978,636,869.64 = 415,777,894.86 : x
  2. Step 2: Convert to fraction form
    709,038,848.46/978,636,869.64 = 415,777,894.86/x
  3. Step 3: Cross multiply
    709,038,848.46x = 978,636,869.64 × 415,777,894.86
  4. Step 4: Simplify right side
    709,038,848.46x = 406,895,577,491,299,456
  5. Step 5: Solve for x
    x = 406,895,577,491,299,456/709,038,848.46
  6. Step 6: Final answer
    x = 573,869,229.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.