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Finding the Fourth Proportional to 507,640.98, 700,455.76 and 289,750.18

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Solution

The fourth proportional to 507,640.98, 700,455.76 and 289,750.18 is: 399,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,640.98 : 700,455.76 = 289,750.18 : x
  2. Step 2: Convert to fraction form
    507,640.98/700,455.76 = 289,750.18/x
  3. Step 3: Cross multiply
    507,640.98x = 700,455.76 × 289,750.18
  4. Step 4: Simplify right side
    507,640.98x = 202,957,182,542.04
  5. Step 5: Solve for x
    x = 202,957,182,542.04/507,640.98
  6. Step 6: Final answer
    x = 399,804.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.