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Finding the Fourth Proportional to 213,255,089.40, 319,404,337.20 and 213,255,089.40

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Solution

The fourth proportional to 213,255,089.40, 319,404,337.20 and 213,255,089.40 is: 319,404,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,255,089.40 : 319,404,337.20 = 213,255,089.40 : x
  2. Step 2: Convert to fraction form
    213,255,089.40/319,404,337.20 = 213,255,089.40/x
  3. Step 3: Cross multiply
    213,255,089.40x = 319,404,337.20 × 213,255,089.40
  4. Step 4: Simplify right side
    213,255,089.40x = 68,114,600,484,333,744
  5. Step 5: Solve for x
    x = 68,114,600,484,333,744/213,255,089.40
  6. Step 6: Final answer
    x = 319,404,337.20

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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.