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Finding the Fourth Proportional to 478,835.72, 716,479.40 and 383,777.60

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Solution

The fourth proportional to 478,835.72, 716,479.40 and 383,777.60 is: 574,244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,835.72 : 716,479.40 = 383,777.60 : x
  2. Step 2: Convert to fraction form
    478,835.72/716,479.40 = 383,777.60/x
  3. Step 3: Cross multiply
    478,835.72x = 716,479.40 × 383,777.60
  4. Step 4: Simplify right side
    478,835.72x = 274,968,739,080.16
  5. Step 5: Solve for x
    x = 274,968,739,080.16/478,835.72
  6. Step 6: Final answer
    x = 574,244.42

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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.