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Finding the Fourth Proportional to 217,258.58, 299,502.86 and 152,530.76

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Solution

The fourth proportional to 217,258.58, 299,502.86 and 152,530.76 is: 210,272.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,258.58 : 299,502.86 = 152,530.76 : x
  2. Step 2: Convert to fraction form
    217,258.58/299,502.86 = 152,530.76/x
  3. Step 3: Cross multiply
    217,258.58x = 299,502.86 × 152,530.76
  4. Step 4: Simplify right side
    217,258.58x = 45,683,398,857.97
  5. Step 5: Solve for x
    x = 45,683,398,857.97/217,258.58
  6. Step 6: Final answer
    x = 210,272.01

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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.