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Finding the Fourth Proportional to 209,952,271.80, 314,928,407.70 and 166,114,294.20

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Solution

The fourth proportional to 209,952,271.80, 314,928,407.70 and 166,114,294.20 is: 249,171,441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,271.80 : 314,928,407.70 = 166,114,294.20 : x
  2. Step 2: Convert to fraction form
    209,952,271.80/314,928,407.70 = 166,114,294.20/x
  3. Step 3: Cross multiply
    209,952,271.80x = 314,928,407.70 × 166,114,294.20
  4. Step 4: Simplify right side
    209,952,271.80x = 52,314,110,168,615,336
  5. Step 5: Solve for x
    x = 52,314,110,168,615,336/209,952,271.80
  6. Step 6: Final answer
    x = 249,171,441.30

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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.