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Finding the Fourth Proportional to 210,463.29, 315,695.34 and 70,222.32

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Solution

The fourth proportional to 210,463.29, 315,695.34 and 70,222.32 is: 105,333.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,463.29 : 315,695.34 = 70,222.32 : x
  2. Step 2: Convert to fraction form
    210,463.29/315,695.34 = 70,222.32/x
  3. Step 3: Cross multiply
    210,463.29x = 315,695.34 × 70,222.32
  4. Step 4: Simplify right side
    210,463.29x = 22,168,859,187.99
  5. Step 5: Solve for x
    x = 22,168,859,187.99/210,463.29
  6. Step 6: Final answer
    x = 105,333.62

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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.