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Finding the Fourth Proportional to 528,364.50, 729,143.01 and 302,014.86

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Solution

The fourth proportional to 528,364.50, 729,143.01 and 302,014.86 is: 416,780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,364.50 : 729,143.01 = 302,014.86 : x
  2. Step 2: Convert to fraction form
    528,364.50/729,143.01 = 302,014.86/x
  3. Step 3: Cross multiply
    528,364.50x = 729,143.01 × 302,014.86
  4. Step 4: Simplify right side
    528,364.50x = 220,212,024,085.13
  5. Step 5: Solve for x
    x = 220,212,024,085.13/528,364.50
  6. Step 6: Final answer
    x = 416,780.51

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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.