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Finding the Fourth Proportional to 209,952,281.60, 314,928,422.40 and 194,646,780.80

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Solution

The fourth proportional to 209,952,281.60, 314,928,422.40 and 194,646,780.80 is: 291,970,171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,281.60 : 314,928,422.40 = 194,646,780.80 : x
  2. Step 2: Convert to fraction form
    209,952,281.60/314,928,422.40 = 194,646,780.80/x
  3. Step 3: Cross multiply
    209,952,281.60x = 314,928,422.40 × 194,646,780.80
  4. Step 4: Simplify right side
    209,952,281.60x = 61,299,803,602,582,608
  5. Step 5: Solve for x
    x = 61,299,803,602,582,608/209,952,281.60
  6. Step 6: Final answer
    x = 291,970,171.20

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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.