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Finding the Fourth Proportional to 528,771.30, 729,705.29 and 302,416.80

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Solution

The fourth proportional to 528,771.30, 729,705.29 and 302,416.80 is: 417,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,771.30 : 729,705.29 = 302,416.80 : x
  2. Step 2: Convert to fraction form
    528,771.30/729,705.29 = 302,416.80/x
  3. Step 3: Cross multiply
    528,771.30x = 729,705.29 × 302,416.80
  4. Step 4: Simplify right side
    528,771.30x = 220,675,138,744.87
  5. Step 5: Solve for x
    x = 220,675,138,744.87/528,771.30
  6. Step 6: Final answer
    x = 417,335.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.