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Finding the Fourth Proportional to 438,049.60, 657,074.40 and 288,750.40

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Solution

The fourth proportional to 438,049.60, 657,074.40 and 288,750.40 is: 433,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,049.60 : 657,074.40 = 288,750.40 : x
  2. Step 2: Convert to fraction form
    438,049.60/657,074.40 = 288,750.40/x
  3. Step 3: Cross multiply
    438,049.60x = 657,074.40 × 288,750.40
  4. Step 4: Simplify right side
    438,049.60x = 189,730,495,829.76
  5. Step 5: Solve for x
    x = 189,730,495,829.76/438,049.60
  6. Step 6: Final answer
    x = 433,125.60

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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.