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Finding the Fourth Proportional to 978,075, 1,349,747.15 and 570,458.30

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Solution

The fourth proportional to 978,075, 1,349,747.15 and 570,458.30 is: 787,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,075 : 1,349,747.15 = 570,458.30 : x
  2. Step 2: Convert to fraction form
    978,075/1,349,747.15 = 570,458.30/x
  3. Step 3: Cross multiply
    978,075x = 1,349,747.15 × 570,458.30
  4. Step 4: Simplify right side
    978,075x = 769,974,455,017.82
  5. Step 5: Solve for x
    x = 769,974,455,017.82/978,075
  6. Step 6: Final answer
    x = 787,234.57

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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.