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Finding the Fourth Proportional to 312,308.47, 430,985.59 and 169,068.41

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Solution

The fourth proportional to 312,308.47, 430,985.59 and 169,068.41 is: 233,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,308.47 : 430,985.59 = 169,068.41 : x
  2. Step 2: Convert to fraction form
    312,308.47/430,985.59 = 169,068.41/x
  3. Step 3: Cross multiply
    312,308.47x = 430,985.59 × 169,068.41
  4. Step 4: Simplify right side
    312,308.47x = 72,866,045,433.94
  5. Step 5: Solve for x
    x = 72,866,045,433.94/312,308.47
  6. Step 6: Final answer
    x = 233,314.35

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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.