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Finding the Fourth Proportional to 320,106.64, 480,044.76 and 109,688.08

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Solution

The fourth proportional to 320,106.64, 480,044.76 and 109,688.08 is: 164,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,106.64 : 480,044.76 = 109,688.08 : x
  2. Step 2: Convert to fraction form
    320,106.64/480,044.76 = 109,688.08/x
  3. Step 3: Cross multiply
    320,106.64x = 480,044.76 × 109,688.08
  4. Step 4: Simplify right side
    320,106.64x = 52,655,188,038.46
  5. Step 5: Solve for x
    x = 52,655,188,038.46/320,106.64
  6. Step 6: Final answer
    x = 164,492.65

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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.