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Finding the Fourth Proportional to 438,026.40, 657,039.60 and 288,435.60

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Solution

The fourth proportional to 438,026.40, 657,039.60 and 288,435.60 is: 432,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,026.40 : 657,039.60 = 288,435.60 : x
  2. Step 2: Convert to fraction form
    438,026.40/657,039.60 = 288,435.60/x
  3. Step 3: Cross multiply
    438,026.40x = 657,039.60 × 288,435.60
  4. Step 4: Simplify right side
    438,026.40x = 189,513,611,249.76
  5. Step 5: Solve for x
    x = 189,513,611,249.76/438,026.40
  6. Step 6: Final answer
    x = 432,653.40

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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.