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Finding the Fourth Proportional to 561,238.80, 843,931.80 and 470,000.40

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Solution

The fourth proportional to 561,238.80, 843,931.80 and 470,000.40 is: 706,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,238.80 : 843,931.80 = 470,000.40 : x
  2. Step 2: Convert to fraction form
    561,238.80/843,931.80 = 470,000.40/x
  3. Step 3: Cross multiply
    561,238.80x = 843,931.80 × 470,000.40
  4. Step 4: Simplify right side
    561,238.80x = 396,648,283,572.72
  5. Step 5: Solve for x
    x = 396,648,283,572.72/561,238.80
  6. Step 6: Final answer
    x = 706,737.10

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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.