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Finding the Fourth Proportional to 561,913.70, 842,870.55 and 557,977.10

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Solution

The fourth proportional to 561,913.70, 842,870.55 and 557,977.10 is: 836,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,913.70 : 842,870.55 = 557,977.10 : x
  2. Step 2: Convert to fraction form
    561,913.70/842,870.55 = 557,977.10/x
  3. Step 3: Cross multiply
    561,913.70x = 842,870.55 × 557,977.10
  4. Step 4: Simplify right side
    561,913.70x = 470,302,465,164.41
  5. Step 5: Solve for x
    x = 470,302,465,164.41/561,913.70
  6. Step 6: Final answer
    x = 836,965.65

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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.