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Finding the Fourth Proportional to 403,139.80, 604,709.70 and 136,970.20

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Solution

The fourth proportional to 403,139.80, 604,709.70 and 136,970.20 is: 205,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,139.80 : 604,709.70 = 136,970.20 : x
  2. Step 2: Convert to fraction form
    403,139.80/604,709.70 = 136,970.20/x
  3. Step 3: Cross multiply
    403,139.80x = 604,709.70 × 136,970.20
  4. Step 4: Simplify right side
    403,139.80x = 82,827,208,550.94
  5. Step 5: Solve for x
    x = 82,827,208,550.94/403,139.80
  6. Step 6: Final answer
    x = 205,455.30

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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.