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Finding the Fourth Proportional to 508,200.42, 761,284.20 and 305,684.70

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Solution

The fourth proportional to 508,200.42, 761,284.20 and 305,684.70 is: 457,915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,200.42 : 761,284.20 = 305,684.70 : x
  2. Step 2: Convert to fraction form
    508,200.42/761,284.20 = 305,684.70/x
  3. Step 3: Cross multiply
    508,200.42x = 761,284.20 × 305,684.70
  4. Step 4: Simplify right side
    508,200.42x = 232,712,932,291.74
  5. Step 5: Solve for x
    x = 232,712,932,291.74/508,200.42
  6. Step 6: Final answer
    x = 457,915.66

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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.