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Finding the Fourth Proportional to 523,149.03, 785,068.20 and 286,657.79

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Solution

The fourth proportional to 523,149.03, 785,068.20 and 286,657.79 is: 430,175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,149.03 : 785,068.20 = 286,657.79 : x
  2. Step 2: Convert to fraction form
    523,149.03/785,068.20 = 286,657.79/x
  3. Step 3: Cross multiply
    523,149.03x = 785,068.20 × 286,657.79
  4. Step 4: Simplify right side
    523,149.03x = 225,045,911,285.94
  5. Step 5: Solve for x
    x = 225,045,911,285.94/523,149.03
  6. Step 6: Final answer
    x = 430,175.53

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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.