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Finding the Fourth Proportional to 524,366.40, 785,966.40 and 287,878.80

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Solution

The fourth proportional to 524,366.40, 785,966.40 and 287,878.80 is: 431,498.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,366.40 : 785,966.40 = 287,878.80 : x
  2. Step 2: Convert to fraction form
    524,366.40/785,966.40 = 287,878.80/x
  3. Step 3: Cross multiply
    524,366.40x = 785,966.40 × 287,878.80
  4. Step 4: Simplify right side
    524,366.40x = 226,263,064,072.32
  5. Step 5: Solve for x
    x = 226,263,064,072.32/524,366.40
  6. Step 6: Final answer
    x = 431,498.02

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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.