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Finding the Fourth Proportional to 313,681.47, 470,257.71 and 136,054.71

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Solution

The fourth proportional to 313,681.47, 470,257.71 and 136,054.71 is: 203,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,681.47 : 470,257.71 = 136,054.71 : x
  2. Step 2: Convert to fraction form
    313,681.47/470,257.71 = 136,054.71/x
  3. Step 3: Cross multiply
    313,681.47x = 470,257.71 × 136,054.71
  4. Step 4: Simplify right side
    313,681.47x = 63,980,776,359.31
  5. Step 5: Solve for x
    x = 63,980,776,359.31/313,681.47
  6. Step 6: Final answer
    x = 203,967.34

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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.