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Finding the Fourth Proportional to 648,657.30, 972,989.40 and 425,431.32

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Solution

The fourth proportional to 648,657.30, 972,989.40 and 425,431.32 is: 638,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,657.30 : 972,989.40 = 425,431.32 : x
  2. Step 2: Convert to fraction form
    648,657.30/972,989.40 = 425,431.32/x
  3. Step 3: Cross multiply
    648,657.30x = 972,989.40 × 425,431.32
  4. Step 4: Simplify right side
    648,657.30x = 413,940,164,788.01
  5. Step 5: Solve for x
    x = 413,940,164,788.01/648,657.30
  6. Step 6: Final answer
    x = 638,149.24

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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.