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Finding the Fourth Proportional to 229,010.58, 315,925.78 and 152,565.21

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Solution

The fourth proportional to 229,010.58, 315,925.78 and 152,565.21 is: 210,467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,010.58 : 315,925.78 = 152,565.21 : x
  2. Step 2: Convert to fraction form
    229,010.58/315,925.78 = 152,565.21/x
  3. Step 3: Cross multiply
    229,010.58x = 315,925.78 × 152,565.21
  4. Step 4: Simplify right side
    229,010.58x = 48,199,282,970.11
  5. Step 5: Solve for x
    x = 48,199,282,970.11/229,010.58
  6. Step 6: Final answer
    x = 210,467.49

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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.