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Finding the Fourth Proportional to 462,130.80, 693,196.20 and 212,812.80

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Solution

The fourth proportional to 462,130.80, 693,196.20 and 212,812.80 is: 319,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,130.80 : 693,196.20 = 212,812.80 : x
  2. Step 2: Convert to fraction form
    462,130.80/693,196.20 = 212,812.80/x
  3. Step 3: Cross multiply
    462,130.80x = 693,196.20 × 212,812.80
  4. Step 4: Simplify right side
    462,130.80x = 147,521,024,271.36
  5. Step 5: Solve for x
    x = 147,521,024,271.36/462,130.80
  6. Step 6: Final answer
    x = 319,219.20

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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.