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Finding the Fourth Proportional to 30,509,472.60, 45,764,208.90 and 10,314,714.60

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Solution

The fourth proportional to 30,509,472.60, 45,764,208.90 and 10,314,714.60 is: 15,472,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509,472.60 : 45,764,208.90 = 10,314,714.60 : x
  2. Step 2: Convert to fraction form
    30,509,472.60/45,764,208.90 = 10,314,714.60/x
  3. Step 3: Cross multiply
    30,509,472.60x = 45,764,208.90 × 10,314,714.60
  4. Step 4: Simplify right side
    30,509,472.60x = 472,044,753,698,279.94
  5. Step 5: Solve for x
    x = 472,044,753,698,279.94/30,509,472.60
  6. Step 6: Final answer
    x = 15,472,071.90

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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.