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Finding the Fourth Proportional to 288,816.40, 433,437.48 and 137,013.97

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Solution

The fourth proportional to 288,816.40, 433,437.48 and 137,013.97 is: 205,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,816.40 : 433,437.48 = 137,013.97 : x
  2. Step 2: Convert to fraction form
    288,816.40/433,437.48 = 137,013.97/x
  3. Step 3: Cross multiply
    288,816.40x = 433,437.48 × 137,013.97
  4. Step 4: Simplify right side
    288,816.40x = 59,386,989,881.60
  5. Step 5: Solve for x
    x = 59,386,989,881.60/288,816.40
  6. Step 6: Final answer
    x = 205,621.94

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1.5x scale

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.