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Finding the Fourth Proportional to 316,345.61, 436,393.45 and 214,336.17

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Solution

The fourth proportional to 316,345.61, 436,393.45 and 214,336.17 is: 295,673.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,345.61 : 436,393.45 = 214,336.17 : x
  2. Step 2: Convert to fraction form
    316,345.61/436,393.45 = 214,336.17/x
  3. Step 3: Cross multiply
    316,345.61x = 436,393.45 × 214,336.17
  4. Step 4: Simplify right side
    316,345.61x = 93,534,900,686.09
  5. Step 5: Solve for x
    x = 93,534,900,686.09/316,345.61
  6. Step 6: Final answer
    x = 295,673.14

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1.5x scale

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.