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Finding the Fourth Proportional to 387,201,076.40, 542,484,614.80 and 387,201,076.40

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Solution

The fourth proportional to 387,201,076.40, 542,484,614.80 and 387,201,076.40 is: 542,484,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,201,076.40 : 542,484,614.80 = 387,201,076.40 : x
  2. Step 2: Convert to fraction form
    387,201,076.40/542,484,614.80 = 387,201,076.40/x
  3. Step 3: Cross multiply
    387,201,076.40x = 542,484,614.80 × 387,201,076.40
  4. Step 4: Simplify right side
    387,201,076.40x = 210,050,626,780,999,328
  5. Step 5: Solve for x
    x = 210,050,626,780,999,328/387,201,076.40
  6. Step 6: Final answer
    x = 542,484,614.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.