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Finding the Fourth Proportional to 559,675.40, 839,513.10 and 510,686.60

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Solution

The fourth proportional to 559,675.40, 839,513.10 and 510,686.60 is: 766,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,675.40 : 839,513.10 = 510,686.60 : x
  2. Step 2: Convert to fraction form
    559,675.40/839,513.10 = 510,686.60/x
  3. Step 3: Cross multiply
    559,675.40x = 839,513.10 × 510,686.60
  4. Step 4: Simplify right side
    559,675.40x = 428,728,090,694.46
  5. Step 5: Solve for x
    x = 428,728,090,694.46/559,675.40
  6. Step 6: Final answer
    x = 766,029.90

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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.