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Finding the Fourth Proportional to 520,078.20, 780,117.30 and 470,311.80

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Solution

The fourth proportional to 520,078.20, 780,117.30 and 470,311.80 is: 705,467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,078.20 : 780,117.30 = 470,311.80 : x
  2. Step 2: Convert to fraction form
    520,078.20/780,117.30 = 470,311.80/x
  3. Step 3: Cross multiply
    520,078.20x = 780,117.30 × 470,311.80
  4. Step 4: Simplify right side
    520,078.20x = 366,898,371,574.14
  5. Step 5: Solve for x
    x = 366,898,371,574.14/520,078.20
  6. Step 6: Final answer
    x = 705,467.70

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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.