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Finding the Fourth Proportional to 470,560.20, 705,840.30 and 399,701.40

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Solution

The fourth proportional to 470,560.20, 705,840.30 and 399,701.40 is: 599,552.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,560.20 : 705,840.30 = 399,701.40 : x
  2. Step 2: Convert to fraction form
    470,560.20/705,840.30 = 399,701.40/x
  3. Step 3: Cross multiply
    470,560.20x = 705,840.30 × 399,701.40
  4. Step 4: Simplify right side
    470,560.20x = 282,125,356,086.42
  5. Step 5: Solve for x
    x = 282,125,356,086.42/470,560.20
  6. Step 6: Final answer
    x = 599,552.10

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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.