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Finding the Fourth Proportional to 470,523.12, 705,710.52 and 391,071.28

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Solution

The fourth proportional to 470,523.12, 705,710.52 and 391,071.28 is: 586,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,523.12 : 705,710.52 = 391,071.28 : x
  2. Step 2: Convert to fraction form
    470,523.12/705,710.52 = 391,071.28/x
  3. Step 3: Cross multiply
    470,523.12x = 705,710.52 × 391,071.28
  4. Step 4: Simplify right side
    470,523.12x = 275,983,116,365.87
  5. Step 5: Solve for x
    x = 275,983,116,365.87/470,523.12
  6. Step 6: Final answer
    x = 586,545.28

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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.