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Finding the Fourth Proportional to 411,641.64, 617,216.40 and 158,712.35

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Solution

The fourth proportional to 411,641.64, 617,216.40 and 158,712.35 is: 237,973.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,641.64 : 617,216.40 = 158,712.35 : x
  2. Step 2: Convert to fraction form
    411,641.64/617,216.40 = 158,712.35/x
  3. Step 3: Cross multiply
    411,641.64x = 617,216.40 × 158,712.35
  4. Step 4: Simplify right side
    411,641.64x = 97,959,862,216.46
  5. Step 5: Solve for x
    x = 97,959,862,216.46/411,641.64
  6. Step 6: Final answer
    x = 237,973.65

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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.