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Finding the Fourth Proportional to 507,364.72, 700,174.62 and 289,569.02

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Solution

The fourth proportional to 507,364.72, 700,174.62 and 289,569.02 is: 399,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,364.72 : 700,174.62 = 289,569.02 : x
  2. Step 2: Convert to fraction form
    507,364.72/700,174.62 = 289,569.02/x
  3. Step 3: Cross multiply
    507,364.72x = 700,174.62 × 289,569.02
  4. Step 4: Simplify right side
    507,364.72x = 202,748,878,542.27
  5. Step 5: Solve for x
    x = 202,748,878,542.27/507,364.72
  6. Step 6: Final answer
    x = 399,611.70

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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.