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Finding the Fourth Proportional to 522,416.40, 783,625.50 and 143,342.34

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Solution

The fourth proportional to 522,416.40, 783,625.50 and 143,342.34 is: 215,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,416.40 : 783,625.50 = 143,342.34 : x
  2. Step 2: Convert to fraction form
    522,416.40/783,625.50 = 143,342.34/x
  3. Step 3: Cross multiply
    522,416.40x = 783,625.50 × 143,342.34
  4. Step 4: Simplify right side
    522,416.40x = 112,326,712,853.67
  5. Step 5: Solve for x
    x = 112,326,712,853.67/522,416.40
  6. Step 6: Final answer
    x = 215,013.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.