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Finding the Fourth Proportional to 528,363.84, 729,142.02 and 302,014.20

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Solution

The fourth proportional to 528,363.84, 729,142.02 and 302,014.20 is: 416,779.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,363.84 : 729,142.02 = 302,014.20 : x
  2. Step 2: Convert to fraction form
    528,363.84/729,142.02 = 302,014.20/x
  3. Step 3: Cross multiply
    528,363.84x = 729,142.02 × 302,014.20
  4. Step 4: Simplify right side
    528,363.84x = 220,211,243,856.68
  5. Step 5: Solve for x
    x = 220,211,243,856.68/528,363.84
  6. Step 6: Final answer
    x = 416,779.55

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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.