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Finding the Fourth Proportional to 478,273.66, 716,918.40 and 212,159.50

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Solution

The fourth proportional to 478,273.66, 716,918.40 and 212,159.50 is: 318,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,273.66 : 716,918.40 = 212,159.50 : x
  2. Step 2: Convert to fraction form
    478,273.66/716,918.40 = 212,159.50/x
  3. Step 3: Cross multiply
    478,273.66x = 716,918.40 × 212,159.50
  4. Step 4: Simplify right side
    478,273.66x = 152,101,049,284.80
  5. Step 5: Solve for x
    x = 152,101,049,284.80/478,273.66
  6. Step 6: Final answer
    x = 318,020.96

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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.