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Finding the Fourth Proportional to 478,300,470.40, 717,450,705.60 and 437,485,801.60

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Solution

The fourth proportional to 478,300,470.40, 717,450,705.60 and 437,485,801.60 is: 656,228,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,300,470.40 : 717,450,705.60 = 437,485,801.60 : x
  2. Step 2: Convert to fraction form
    478,300,470.40/717,450,705.60 = 437,485,801.60/x
  3. Step 3: Cross multiply
    478,300,470.40x = 717,450,705.60 × 437,485,801.60
  4. Step 4: Simplify right side
    478,300,470.40x = 313,874,497,047,901,632
  5. Step 5: Solve for x
    x = 313,874,497,047,901,632/478,300,470.40
  6. Step 6: Final answer
    x = 656,228,702.40

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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.