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Finding the Fourth Proportional to 506,578.24, 699,009.51 and 288,815.01

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Solution

The fourth proportional to 506,578.24, 699,009.51 and 288,815.01 is: 398,525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,578.24 : 699,009.51 = 288,815.01 : x
  2. Step 2: Convert to fraction form
    506,578.24/699,009.51 = 288,815.01/x
  3. Step 3: Cross multiply
    506,578.24x = 699,009.51 × 288,815.01
  4. Step 4: Simplify right side
    506,578.24x = 201,884,437,176.67
  5. Step 5: Solve for x
    x = 201,884,437,176.67/506,578.24
  6. Step 6: Final answer
    x = 398,525.68

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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.