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Finding the Fourth Proportional to 507,365.72, 700,176 and 289,570.02

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Solution

The fourth proportional to 507,365.72, 700,176 and 289,570.02 is: 399,613.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,365.72 : 700,176 = 289,570.02 : x
  2. Step 2: Convert to fraction form
    507,365.72/700,176 = 289,570.02/x
  3. Step 3: Cross multiply
    507,365.72x = 700,176 × 289,570.02
  4. Step 4: Simplify right side
    507,365.72x = 202,749,978,323.52
  5. Step 5: Solve for x
    x = 202,749,978,323.52/507,365.72
  6. Step 6: Final answer
    x = 399,613.08

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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.