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Finding the Fourth Proportional to 316,810, 437,090.16 and 180,746.20

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Solution

The fourth proportional to 316,810, 437,090.16 and 180,746.20 is: 249,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,810 : 437,090.16 = 180,746.20 : x
  2. Step 2: Convert to fraction form
    316,810/437,090.16 = 180,746.20/x
  3. Step 3: Cross multiply
    316,810x = 437,090.16 × 180,746.20
  4. Step 4: Simplify right side
    316,810x = 79,002,385,477.39
  5. Step 5: Solve for x
    x = 79,002,385,477.39/316,810
  6. Step 6: Final answer
    x = 249,368.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.