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Finding the Fourth Proportional to 209,952,245.80, 314,928,368.70 and 145,119,068.20

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Solution

The fourth proportional to 209,952,245.80, 314,928,368.70 and 145,119,068.20 is: 217,678,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,245.80 : 314,928,368.70 = 145,119,068.20 : x
  2. Step 2: Convert to fraction form
    209,952,245.80/314,928,368.70 = 145,119,068.20/x
  3. Step 3: Cross multiply
    209,952,245.80x = 314,928,368.70 × 145,119,068.20
  4. Step 4: Simplify right side
    209,952,245.80x = 45,702,111,415,490,040
  5. Step 5: Solve for x
    x = 45,702,111,415,490,040/209,952,245.80
  6. Step 6: Final answer
    x = 217,678,602.30

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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.