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Finding the Fourth Proportional to 210,470.50, 315,830.30 and 77,444.17

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Solution

The fourth proportional to 210,470.50, 315,830.30 and 77,444.17 is: 116,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,470.50 : 315,830.30 = 77,444.17 : x
  2. Step 2: Convert to fraction form
    210,470.50/315,830.30 = 77,444.17/x
  3. Step 3: Cross multiply
    210,470.50x = 315,830.30 × 77,444.17
  4. Step 4: Simplify right side
    210,470.50x = 24,459,215,444.35
  5. Step 5: Solve for x
    x = 24,459,215,444.35/210,470.50
  6. Step 6: Final answer
    x = 116,212.08

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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.