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Finding the Fourth Proportional to 282,711.59, 390,145 and 153,650.07

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Solution

The fourth proportional to 282,711.59, 390,145 and 153,650.07 is: 212,038.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,711.59 : 390,145 = 153,650.07 : x
  2. Step 2: Convert to fraction form
    282,711.59/390,145 = 153,650.07/x
  3. Step 3: Cross multiply
    282,711.59x = 390,145 × 153,650.07
  4. Step 4: Simplify right side
    282,711.59x = 59,945,806,560.15
  5. Step 5: Solve for x
    x = 59,945,806,560.15/282,711.59
  6. Step 6: Final answer
    x = 212,038.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.