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Finding the Fourth Proportional to 524,215.30, 785,156.55 and 430,903.30

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Solution

The fourth proportional to 524,215.30, 785,156.55 and 430,903.30 is: 645,396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,215.30 : 785,156.55 = 430,903.30 : x
  2. Step 2: Convert to fraction form
    524,215.30/785,156.55 = 430,903.30/x
  3. Step 3: Cross multiply
    524,215.30x = 785,156.55 × 430,903.30
  4. Step 4: Simplify right side
    524,215.30x = 338,326,548,411.62
  5. Step 5: Solve for x
    x = 338,326,548,411.62/524,215.30
  6. Step 6: Final answer
    x = 645,396.17

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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.