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Finding the Fourth Proportional to 210,465.89, 290,439.28 and 114,970.13

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Solution

The fourth proportional to 210,465.89, 290,439.28 and 114,970.13 is: 158,656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,465.89 : 290,439.28 = 114,970.13 : x
  2. Step 2: Convert to fraction form
    210,465.89/290,439.28 = 114,970.13/x
  3. Step 3: Cross multiply
    210,465.89x = 290,439.28 × 114,970.13
  4. Step 4: Simplify right side
    210,465.89x = 33,391,841,778.71
  5. Step 5: Solve for x
    x = 33,391,841,778.71/210,465.89
  6. Step 6: Final answer
    x = 158,656.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.