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Finding the Fourth Proportional to 508,420.80, 762,636.96 and 153,438.24

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Solution

The fourth proportional to 508,420.80, 762,636.96 and 153,438.24 is: 230,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,420.80 : 762,636.96 = 153,438.24 : x
  2. Step 2: Convert to fraction form
    508,420.80/762,636.96 = 153,438.24/x
  3. Step 3: Cross multiply
    508,420.80x = 762,636.96 × 153,438.24
  4. Step 4: Simplify right side
    508,420.80x = 117,017,672,901.35
  5. Step 5: Solve for x
    x = 117,017,672,901.35/508,420.80
  6. Step 6: Final answer
    x = 230,159.10

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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.