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Finding the Fourth Proportional to 313,820.27, 470,369.54 and 144,985.92

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Solution

The fourth proportional to 313,820.27, 470,369.54 and 144,985.92 is: 217,312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,820.27 : 470,369.54 = 144,985.92 : x
  2. Step 2: Convert to fraction form
    313,820.27/470,369.54 = 144,985.92/x
  3. Step 3: Cross multiply
    313,820.27x = 470,369.54 × 144,985.92
  4. Step 4: Simplify right side
    313,820.27x = 68,196,960,859.34
  5. Step 5: Solve for x
    x = 68,196,960,859.34/313,820.27
  6. Step 6: Final answer
    x = 217,312.16

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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.