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Finding the Fourth Proportional to 977,805.80, 1,467,364.80 and 578,022.20

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Solution

The fourth proportional to 977,805.80, 1,467,364.80 and 578,022.20 is: 867,421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,805.80 : 1,467,364.80 = 578,022.20 : x
  2. Step 2: Convert to fraction form
    977,805.80/1,467,364.80 = 578,022.20/x
  3. Step 3: Cross multiply
    977,805.80x = 1,467,364.80 × 578,022.20
  4. Step 4: Simplify right side
    977,805.80x = 848,169,429,898.56
  5. Step 5: Solve for x
    x = 848,169,429,898.56/977,805.80
  6. Step 6: Final answer
    x = 867,421.15

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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.