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Finding the Fourth Proportional to 282,709.75, 390,142.49 and 153,648.22

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Solution

The fourth proportional to 282,709.75, 390,142.49 and 153,648.22 is: 212,036.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,709.75 : 390,142.49 = 153,648.22 : x
  2. Step 2: Convert to fraction form
    282,709.75/390,142.49 = 153,648.22/x
  3. Step 3: Cross multiply
    282,709.75x = 390,142.49 × 153,648.22
  4. Step 4: Simplify right side
    282,709.75x = 59,944,698,854.30
  5. Step 5: Solve for x
    x = 59,944,698,854.30/282,709.75
  6. Step 6: Final answer
    x = 212,036.19

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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.