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Finding the Fourth Proportional to 419,276.59, 578,775.57 and 317,330.50

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Solution

The fourth proportional to 419,276.59, 578,775.57 and 317,330.50 is: 438,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,276.59 : 578,775.57 = 317,330.50 : x
  2. Step 2: Convert to fraction form
    419,276.59/578,775.57 = 317,330.50/x
  3. Step 3: Cross multiply
    419,276.59x = 578,775.57 × 317,330.50
  4. Step 4: Simplify right side
    419,276.59x = 183,663,141,015.89
  5. Step 5: Solve for x
    x = 183,663,141,015.89/419,276.59
  6. Step 6: Final answer
    x = 438,047.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.