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Finding the Fourth Proportional to 210,503.16, 315,879.28 and 77,476.84

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Solution

The fourth proportional to 210,503.16, 315,879.28 and 77,476.84 is: 116,261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,503.16 : 315,879.28 = 77,476.84 : x
  2. Step 2: Convert to fraction form
    210,503.16/315,879.28 = 77,476.84/x
  3. Step 3: Cross multiply
    210,503.16x = 315,879.28 × 77,476.84
  4. Step 4: Simplify right side
    210,503.16x = 24,473,328,435.88
  5. Step 5: Solve for x
    x = 24,473,328,435.88/210,503.16
  6. Step 6: Final answer
    x = 116,261.10

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1.5x scale

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.