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Finding the Fourth Proportional to 506,578.37, 699,009.68 and 288,815.13

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Solution

The fourth proportional to 506,578.37, 699,009.68 and 288,815.13 is: 398,525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,578.37 : 699,009.68 = 288,815.13 : x
  2. Step 2: Convert to fraction form
    506,578.37/699,009.68 = 288,815.13/x
  3. Step 3: Cross multiply
    506,578.37x = 699,009.68 × 288,815.13
  4. Step 4: Simplify right side
    506,578.37x = 201,884,572,322.50
  5. Step 5: Solve for x
    x = 201,884,572,322.50/506,578.37
  6. Step 6: Final answer
    x = 398,525.85

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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.