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Finding the Fourth Proportional to 542,862,007.80, 814,293,011.70 and 389,806,999.80

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Solution

The fourth proportional to 542,862,007.80, 814,293,011.70 and 389,806,999.80 is: 584,710,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,862,007.80 : 814,293,011.70 = 389,806,999.80 : x
  2. Step 2: Convert to fraction form
    542,862,007.80/814,293,011.70 = 389,806,999.80/x
  3. Step 3: Cross multiply
    542,862,007.80x = 814,293,011.70 × 389,806,999.80
  4. Step 4: Simplify right side
    542,862,007.80x = 317,417,115,848,883,328
  5. Step 5: Solve for x
    x = 317,417,115,848,883,328/542,862,007.80
  6. Step 6: Final answer
    x = 584,710,499.70

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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.