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Finding the Fourth Proportional to 503,864.64, 695,423.79 and 289,075.77

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Solution

The fourth proportional to 503,864.64, 695,423.79 and 289,075.77 is: 398,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,864.64 : 695,423.79 = 289,075.77 : x
  2. Step 2: Convert to fraction form
    503,864.64/695,423.79 = 289,075.77/x
  3. Step 3: Cross multiply
    503,864.64x = 695,423.79 × 289,075.77
  4. Step 4: Simplify right side
    503,864.64x = 201,030,167,570.57
  5. Step 5: Solve for x
    x = 201,030,167,570.57/503,864.64
  6. Step 6: Final answer
    x = 398,976.53

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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.