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Finding the Fourth Proportional to 576,721.30, 864,045.15 and 470,967.70

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Solution

The fourth proportional to 576,721.30, 864,045.15 and 470,967.70 is: 705,604.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,721.30 : 864,045.15 = 470,967.70 : x
  2. Step 2: Convert to fraction form
    576,721.30/864,045.15 = 470,967.70/x
  3. Step 3: Cross multiply
    576,721.30x = 864,045.15 × 470,967.70
  4. Step 4: Simplify right side
    576,721.30x = 406,937,356,991.66
  5. Step 5: Solve for x
    x = 406,937,356,991.66/576,721.30
  6. Step 6: Final answer
    x = 705,604.87

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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.