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Finding the Fourth Proportional to 287,210.58, 429,876.72 and 211,288.86

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Solution

The fourth proportional to 287,210.58, 429,876.72 and 211,288.86 is: 316,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,210.58 : 429,876.72 = 211,288.86 : x
  2. Step 2: Convert to fraction form
    287,210.58/429,876.72 = 211,288.86/x
  3. Step 3: Cross multiply
    287,210.58x = 429,876.72 × 211,288.86
  4. Step 4: Simplify right side
    287,210.58x = 90,828,162,109.34
  5. Step 5: Solve for x
    x = 90,828,162,109.34/287,210.58
  6. Step 6: Final answer
    x = 316,242.40

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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.