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Finding the Fourth Proportional to 478,499.40, 717,341.40 and 212,114.70

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Solution

The fourth proportional to 478,499.40, 717,341.40 and 212,114.70 is: 317,991.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,499.40 : 717,341.40 = 212,114.70 : x
  2. Step 2: Convert to fraction form
    478,499.40/717,341.40 = 212,114.70/x
  3. Step 3: Cross multiply
    478,499.40x = 717,341.40 × 212,114.70
  4. Step 4: Simplify right side
    478,499.40x = 152,158,655,858.58
  5. Step 5: Solve for x
    x = 152,158,655,858.58/478,499.40
  6. Step 6: Final answer
    x = 317,991.32

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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.