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Finding the Fourth Proportional to 316,068.40, 474,102.60 and 209,780.20

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Solution

The fourth proportional to 316,068.40, 474,102.60 and 209,780.20 is: 314,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,068.40 : 474,102.60 = 209,780.20 : x
  2. Step 2: Convert to fraction form
    316,068.40/474,102.60 = 209,780.20/x
  3. Step 3: Cross multiply
    316,068.40x = 474,102.60 × 209,780.20
  4. Step 4: Simplify right side
    316,068.40x = 99,457,338,248.52
  5. Step 5: Solve for x
    x = 99,457,338,248.52/316,068.40
  6. Step 6: Final answer
    x = 314,670.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.