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Finding the Fourth Proportional to 576,700.80, 864,014.40 and 470,947.20

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Solution

The fourth proportional to 576,700.80, 864,014.40 and 470,947.20 is: 705,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,700.80 : 864,014.40 = 470,947.20 : x
  2. Step 2: Convert to fraction form
    576,700.80/864,014.40 = 470,947.20/x
  3. Step 3: Cross multiply
    576,700.80x = 864,014.40 × 470,947.20
  4. Step 4: Simplify right side
    576,700.80x = 406,905,162,439.68
  5. Step 5: Solve for x
    x = 406,905,162,439.68/576,700.80
  6. Step 6: Final answer
    x = 705,574.13

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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.