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Finding the Fourth Proportional to 559,006.62, 771,412.28 and 310,647.72

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Solution

The fourth proportional to 559,006.62, 771,412.28 and 310,647.72 is: 428,684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,006.62 : 771,412.28 = 310,647.72 : x
  2. Step 2: Convert to fraction form
    559,006.62/771,412.28 = 310,647.72/x
  3. Step 3: Cross multiply
    559,006.62x = 771,412.28 × 310,647.72
  4. Step 4: Simplify right side
    559,006.62x = 239,637,460,551.70
  5. Step 5: Solve for x
    x = 239,637,460,551.70/559,006.62
  6. Step 6: Final answer
    x = 428,684.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.