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Finding the Fourth Proportional to 522,005.12, 783,008.16 and 128,021.12

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Solution

The fourth proportional to 522,005.12, 783,008.16 and 128,021.12 is: 192,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,005.12 : 783,008.16 = 128,021.12 : x
  2. Step 2: Convert to fraction form
    522,005.12/783,008.16 = 128,021.12/x
  3. Step 3: Cross multiply
    522,005.12x = 783,008.16 × 128,021.12
  4. Step 4: Simplify right side
    522,005.12x = 100,241,581,612.34
  5. Step 5: Solve for x
    x = 100,241,581,612.34/522,005.12
  6. Step 6: Final answer
    x = 192,031.80

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1.5x scale

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.