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Finding the Fourth Proportional to 210,456.58, 315,809.32 and 77,430.18

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Solution

The fourth proportional to 210,456.58, 315,809.32 and 77,430.18 is: 116,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,456.58 : 315,809.32 = 77,430.18 : x
  2. Step 2: Convert to fraction form
    210,456.58/315,809.32 = 77,430.18/x
  3. Step 3: Cross multiply
    210,456.58x = 315,809.32 × 77,430.18
  4. Step 4: Simplify right side
    210,456.58x = 24,453,170,720.66
  5. Step 5: Solve for x
    x = 24,453,170,720.66/210,456.58
  6. Step 6: Final answer
    x = 116,191.05

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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.