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Finding the Fourth Proportional to 282,707.34, 390,139.15 and 153,645.81

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Solution

The fourth proportional to 282,707.34, 390,139.15 and 153,645.81 is: 212,032.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,707.34 : 390,139.15 = 153,645.81 : x
  2. Step 2: Convert to fraction form
    282,707.34/390,139.15 = 153,645.81/x
  3. Step 3: Cross multiply
    282,707.34x = 390,139.15 × 153,645.81
  4. Step 4: Simplify right side
    282,707.34x = 59,943,243,867.33
  5. Step 5: Solve for x
    x = 59,943,243,867.33/282,707.34
  6. Step 6: Final answer
    x = 212,032.86

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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.