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Finding the Fourth Proportional to 524,281.30, 785,255.55 and 430,969.30

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Solution

The fourth proportional to 524,281.30, 785,255.55 and 430,969.30 is: 645,495.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,281.30 : 785,255.55 = 430,969.30 : x
  2. Step 2: Convert to fraction form
    524,281.30/785,255.55 = 430,969.30/x
  3. Step 3: Cross multiply
    524,281.30x = 785,255.55 × 430,969.30
  4. Step 4: Simplify right side
    524,281.30x = 338,421,034,704.62
  5. Step 5: Solve for x
    x = 338,421,034,704.62/524,281.30
  6. Step 6: Final answer
    x = 645,495.15

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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.