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Finding the Fourth Proportional to 286,703.86, 395,661.48 and 157,652.16

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Solution

The fourth proportional to 286,703.86, 395,661.48 and 157,652.16 is: 217,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,703.86 : 395,661.48 = 157,652.16 : x
  2. Step 2: Convert to fraction form
    286,703.86/395,661.48 = 157,652.16/x
  3. Step 3: Cross multiply
    286,703.86x = 395,661.48 × 157,652.16
  4. Step 4: Simplify right side
    286,703.86x = 62,376,886,950.80
  5. Step 5: Solve for x
    x = 62,376,886,950.80/286,703.86
  6. Step 6: Final answer
    x = 217,565.56

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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.