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Finding the Fourth Proportional to 478,642.80, 717,089.40 and 291,435.60

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Solution

The fourth proportional to 478,642.80, 717,089.40 and 291,435.60 is: 436,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,642.80 : 717,089.40 = 291,435.60 : x
  2. Step 2: Convert to fraction form
    478,642.80/717,089.40 = 291,435.60/x
  3. Step 3: Cross multiply
    478,642.80x = 717,089.40 × 291,435.60
  4. Step 4: Simplify right side
    478,642.80x = 208,985,379,542.64
  5. Step 5: Solve for x
    x = 208,985,379,542.64/478,642.80
  6. Step 6: Final answer
    x = 436,620.75

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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.