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Finding the Fourth Proportional to 316,406.82, 474,664.92 and 138,931.77

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Solution

The fourth proportional to 316,406.82, 474,664.92 and 138,931.77 is: 208,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,406.82 : 474,664.92 = 138,931.77 : x
  2. Step 2: Convert to fraction form
    316,406.82/474,664.92 = 138,931.77/x
  3. Step 3: Cross multiply
    316,406.82x = 474,664.92 × 138,931.77
  4. Step 4: Simplify right side
    316,406.82x = 65,946,037,492.51
  5. Step 5: Solve for x
    x = 65,946,037,492.51/316,406.82
  6. Step 6: Final answer
    x = 208,421.67

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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.