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Finding the Fourth Proportional to 502,804.40, 754,206.60 and 278,855.60

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Solution

The fourth proportional to 502,804.40, 754,206.60 and 278,855.60 is: 418,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,804.40 : 754,206.60 = 278,855.60 : x
  2. Step 2: Convert to fraction form
    502,804.40/754,206.60 = 278,855.60/x
  3. Step 3: Cross multiply
    502,804.40x = 754,206.60 × 278,855.60
  4. Step 4: Simplify right side
    502,804.40x = 210,314,733,966.96
  5. Step 5: Solve for x
    x = 210,314,733,966.96/502,804.40
  6. Step 6: Final answer
    x = 418,283.40

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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.