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Finding the Fourth Proportional to 523,701.78, 785,897.10 and 287,210.52

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Solution

The fourth proportional to 523,701.78, 785,897.10 and 287,210.52 is: 431,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,701.78 : 785,897.10 = 287,210.52 : x
  2. Step 2: Convert to fraction form
    523,701.78/785,897.10 = 287,210.52/x
  3. Step 3: Cross multiply
    523,701.78x = 785,897.10 × 287,210.52
  4. Step 4: Simplify right side
    523,701.78x = 225,717,914,757.49
  5. Step 5: Solve for x
    x = 225,717,914,757.49/523,701.78
  6. Step 6: Final answer
    x = 431,004.67

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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.