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Finding the Fourth Proportional to 419,275.59, 578,774.19 and 317,329.50

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Solution

The fourth proportional to 419,275.59, 578,774.19 and 317,329.50 is: 438,046.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,275.59 : 578,774.19 = 317,329.50 : x
  2. Step 2: Convert to fraction form
    419,275.59/578,774.19 = 317,329.50/x
  3. Step 3: Cross multiply
    419,275.59x = 578,774.19 × 317,329.50
  4. Step 4: Simplify right side
    419,275.59x = 183,662,124,325.61
  5. Step 5: Solve for x
    x = 183,662,124,325.61/419,275.59
  6. Step 6: Final answer
    x = 438,046.31

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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.