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Finding the Fourth Proportional to 438,084.80, 657,386.40 and 288,756.80

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Solution

The fourth proportional to 438,084.80, 657,386.40 and 288,756.80 is: 433,306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,084.80 : 657,386.40 = 288,756.80 : x
  2. Step 2: Convert to fraction form
    438,084.80/657,386.40 = 288,756.80/x
  3. Step 3: Cross multiply
    438,084.80x = 657,386.40 × 288,756.80
  4. Step 4: Simplify right side
    438,084.80x = 189,824,793,227.52
  5. Step 5: Solve for x
    x = 189,824,793,227.52/438,084.80
  6. Step 6: Final answer
    x = 433,306.05

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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.