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Finding the Fourth Proportional to 442,867,985.60, 664,301,978.40 and 440,317,068.80

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Solution

The fourth proportional to 442,867,985.60, 664,301,978.40 and 440,317,068.80 is: 660,475,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,867,985.60 : 664,301,978.40 = 440,317,068.80 : x
  2. Step 2: Convert to fraction form
    442,867,985.60/664,301,978.40 = 440,317,068.80/x
  3. Step 3: Cross multiply
    442,867,985.60x = 664,301,978.40 × 440,317,068.80
  4. Step 4: Simplify right side
    442,867,985.60x = 292,503,499,927,128,896
  5. Step 5: Solve for x
    x = 292,503,499,927,128,896/442,867,985.60
  6. Step 6: Final answer
    x = 660,475,603.20

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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.