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Finding the Fourth Proportional to 369,972, 510,565.01 and 200,209.77

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Solution

The fourth proportional to 369,972, 510,565.01 and 200,209.77 is: 276,291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,972 : 510,565.01 = 200,209.77 : x
  2. Step 2: Convert to fraction form
    369,972/510,565.01 = 200,209.77/x
  3. Step 3: Cross multiply
    369,972x = 510,565.01 × 200,209.77
  4. Step 4: Simplify right side
    369,972x = 102,220,102,221.10
  5. Step 5: Solve for x
    x = 102,220,102,221.10/369,972
  6. Step 6: Final answer
    x = 276,291.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.