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Finding the Fourth Proportional to 375,784, 518,581.92 and 216,900.16

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Solution

The fourth proportional to 375,784, 518,581.92 and 216,900.16 is: 299,322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,784 : 518,581.92 = 216,900.16 : x
  2. Step 2: Convert to fraction form
    375,784/518,581.92 = 216,900.16/x
  3. Step 3: Cross multiply
    375,784x = 518,581.92 × 216,900.16
  4. Step 4: Simplify right side
    375,784x = 112,480,501,421.11
  5. Step 5: Solve for x
    x = 112,480,501,421.11/375,784
  6. Step 6: Final answer
    x = 299,322.22

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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.