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Finding the Fourth Proportional to 528,830.28, 729,813.78 and 302,514.12

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Solution

The fourth proportional to 528,830.28, 729,813.78 and 302,514.12 is: 417,485.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,830.28 : 729,813.78 = 302,514.12 : x
  2. Step 2: Convert to fraction form
    528,830.28/729,813.78 = 302,514.12/x
  3. Step 3: Cross multiply
    528,830.28x = 729,813.78 × 302,514.12
  4. Step 4: Simplify right side
    528,830.28x = 220,778,973,420.57
  5. Step 5: Solve for x
    x = 220,778,973,420.57/528,830.28
  6. Step 6: Final answer
    x = 417,485.50

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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.