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Finding the Fourth Proportional to 532,920.30, 735,408.06 and 291,211.20

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Solution

The fourth proportional to 532,920.30, 735,408.06 and 291,211.20 is: 401,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,920.30 : 735,408.06 = 291,211.20 : x
  2. Step 2: Convert to fraction form
    532,920.30/735,408.06 = 291,211.20/x
  3. Step 3: Cross multiply
    532,920.30x = 735,408.06 × 291,211.20
  4. Step 4: Simplify right side
    532,920.30x = 214,159,063,642.27
  5. Step 5: Solve for x
    x = 214,159,063,642.27/532,920.30
  6. Step 6: Final answer
    x = 401,859.46

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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.