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Finding the Fourth Proportional to 559,871.40, 839,807.10 and 380,245.80

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Solution

The fourth proportional to 559,871.40, 839,807.10 and 380,245.80 is: 570,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,871.40 : 839,807.10 = 380,245.80 : x
  2. Step 2: Convert to fraction form
    559,871.40/839,807.10 = 380,245.80/x
  3. Step 3: Cross multiply
    559,871.40x = 839,807.10 × 380,245.80
  4. Step 4: Simplify right side
    559,871.40x = 319,333,122,585.18
  5. Step 5: Solve for x
    x = 319,333,122,585.18/559,871.40
  6. Step 6: Final answer
    x = 570,368.70

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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.