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Finding the Fourth Proportional to 346,319.16, 519,530.69 and 121,640

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Solution

The fourth proportional to 346,319.16, 519,530.69 and 121,640 is: 182,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,319.16 : 519,530.69 = 121,640 : x
  2. Step 2: Convert to fraction form
    346,319.16/519,530.69 = 121,640/x
  3. Step 3: Cross multiply
    346,319.16x = 519,530.69 × 121,640
  4. Step 4: Simplify right side
    346,319.16x = 63,195,713,131.60
  5. Step 5: Solve for x
    x = 63,195,713,131.60/346,319.16
  6. Step 6: Final answer
    x = 182,478.25

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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.