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Finding the Fourth Proportional to 314,773.50, 434,386.76 and 171,533.20

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Solution

The fourth proportional to 314,773.50, 434,386.76 and 171,533.20 is: 236,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,773.50 : 434,386.76 = 171,533.20 : x
  2. Step 2: Convert to fraction form
    314,773.50/434,386.76 = 171,533.20/x
  3. Step 3: Cross multiply
    314,773.50x = 434,386.76 × 171,533.20
  4. Step 4: Simplify right side
    314,773.50x = 74,511,750,980.43
  5. Step 5: Solve for x
    x = 74,511,750,980.43/314,773.50
  6. Step 6: Final answer
    x = 236,715.45

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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.