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Finding the Fourth Proportional to 287,735.10, 431,602.65 and 228,248.70

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Solution

The fourth proportional to 287,735.10, 431,602.65 and 228,248.70 is: 342,373.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,735.10 : 431,602.65 = 228,248.70 : x
  2. Step 2: Convert to fraction form
    287,735.10/431,602.65 = 228,248.70/x
  3. Step 3: Cross multiply
    287,735.10x = 431,602.65 × 228,248.70
  4. Step 4: Simplify right side
    287,735.10x = 98,512,743,779.06
  5. Step 5: Solve for x
    x = 98,512,743,779.06/287,735.10
  6. Step 6: Final answer
    x = 342,373.05

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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.