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Finding the Fourth Proportional to 340,203.47, 510,379.10 and 103,539.98

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Solution

The fourth proportional to 340,203.47, 510,379.10 and 103,539.98 is: 155,332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,203.47 : 510,379.10 = 103,539.98 : x
  2. Step 2: Convert to fraction form
    340,203.47/510,379.10 = 103,539.98/x
  3. Step 3: Cross multiply
    340,203.47x = 510,379.10 × 103,539.98
  4. Step 4: Simplify right side
    340,203.47x = 52,844,638,736.82
  5. Step 5: Solve for x
    x = 52,844,638,736.82/340,203.47
  6. Step 6: Final answer
    x = 155,332.45

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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.