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Finding the Fourth Proportional to 403,595.60, 606,705.60 and 286,080.80

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Solution

The fourth proportional to 403,595.60, 606,705.60 and 286,080.80 is: 430,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,595.60 : 606,705.60 = 286,080.80 : x
  2. Step 2: Convert to fraction form
    403,595.60/606,705.60 = 286,080.80/x
  3. Step 3: Cross multiply
    403,595.60x = 606,705.60 × 286,080.80
  4. Step 4: Simplify right side
    403,595.60x = 173,566,823,412.48
  5. Step 5: Solve for x
    x = 173,566,823,412.48/403,595.60
  6. Step 6: Final answer
    x = 430,051.33

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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.