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Finding the Fourth Proportional to 434,345.21, 651,745.01 and 315,384.83

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Solution

The fourth proportional to 434,345.21, 651,745.01 and 315,384.83 is: 473,242.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,345.21 : 651,745.01 = 315,384.83 : x
  2. Step 2: Convert to fraction form
    434,345.21/651,745.01 = 315,384.83/x
  3. Step 3: Cross multiply
    434,345.21x = 651,745.01 × 315,384.83
  4. Step 4: Simplify right side
    434,345.21x = 205,550,489,234.64
  5. Step 5: Solve for x
    x = 205,550,489,234.64/434,345.21
  6. Step 6: Final answer
    x = 473,242.21

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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.