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Finding the Fourth Proportional to 652,185.80, 978,278.70 and 473,726.60

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Solution

The fourth proportional to 652,185.80, 978,278.70 and 473,726.60 is: 710,589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,185.80 : 978,278.70 = 473,726.60 : x
  2. Step 2: Convert to fraction form
    652,185.80/978,278.70 = 473,726.60/x
  3. Step 3: Cross multiply
    652,185.80x = 978,278.70 × 473,726.60
  4. Step 4: Simplify right side
    652,185.80x = 463,436,642,403.42
  5. Step 5: Solve for x
    x = 463,436,642,403.42/652,185.80
  6. Step 6: Final answer
    x = 710,589.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.