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Finding the Fourth Proportional to 316,346.61, 436,394.83 and 214,337.17

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Solution

The fourth proportional to 316,346.61, 436,394.83 and 214,337.17 is: 295,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,346.61 : 436,394.83 = 214,337.17 : x
  2. Step 2: Convert to fraction form
    316,346.61/436,394.83 = 214,337.17/x
  3. Step 3: Cross multiply
    316,346.61x = 436,394.83 × 214,337.17
  4. Step 4: Simplify right side
    316,346.61x = 93,535,632,864.83
  5. Step 5: Solve for x
    x = 93,535,632,864.83/316,346.61
  6. Step 6: Final answer
    x = 295,674.52

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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.