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Finding the Fourth Proportional to 528,768.50, 729,701.44 and 302,414

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Solution

The fourth proportional to 528,768.50, 729,701.44 and 302,414 is: 417,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,768.50 : 729,701.44 = 302,414 : x
  2. Step 2: Convert to fraction form
    528,768.50/729,701.44 = 302,414/x
  3. Step 3: Cross multiply
    528,768.50x = 729,701.44 × 302,414
  4. Step 4: Simplify right side
    528,768.50x = 220,671,931,276.16
  5. Step 5: Solve for x
    x = 220,671,931,276.16/528,768.50
  6. Step 6: Final answer
    x = 417,331.84

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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.