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Finding the Fourth Proportional to 512,123.93, 767,752.12 and 212,417.45

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Solution

The fourth proportional to 512,123.93, 767,752.12 and 212,417.45 is: 318,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,123.93 : 767,752.12 = 212,417.45 : x
  2. Step 2: Convert to fraction form
    512,123.93/767,752.12 = 212,417.45/x
  3. Step 3: Cross multiply
    512,123.93x = 767,752.12 × 212,417.45
  4. Step 4: Simplify right side
    512,123.93x = 163,083,947,562.49
  5. Step 5: Solve for x
    x = 163,083,947,562.49/512,123.93
  6. Step 6: Final answer
    x = 318,446.25

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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.