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Finding the Fourth Proportional to 287,810.40, 431,715.60 and 217,826.40

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Solution

The fourth proportional to 287,810.40, 431,715.60 and 217,826.40 is: 326,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,810.40 : 431,715.60 = 217,826.40 : x
  2. Step 2: Convert to fraction form
    287,810.40/431,715.60 = 217,826.40/x
  3. Step 3: Cross multiply
    287,810.40x = 431,715.60 × 217,826.40
  4. Step 4: Simplify right side
    287,810.40x = 94,039,054,971.84
  5. Step 5: Solve for x
    x = 94,039,054,971.84/287,810.40
  6. Step 6: Final answer
    x = 326,739.60

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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.