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Finding the Fourth Proportional to 262,386.77, 393,330.75 and 102,565.16

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Solution

The fourth proportional to 262,386.77, 393,330.75 and 102,565.16 is: 153,750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,386.77 : 393,330.75 = 102,565.16 : x
  2. Step 2: Convert to fraction form
    262,386.77/393,330.75 = 102,565.16/x
  3. Step 3: Cross multiply
    262,386.77x = 393,330.75 × 102,565.16
  4. Step 4: Simplify right side
    262,386.77x = 40,342,029,340.02
  5. Step 5: Solve for x
    x = 40,342,029,340.02/262,386.77
  6. Step 6: Final answer
    x = 153,750.24

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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.