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Finding the Fourth Proportional to 477,108,612.40, 715,662,918.60 and 386,409,348.40

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Solution

The fourth proportional to 477,108,612.40, 715,662,918.60 and 386,409,348.40 is: 579,614,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,108,612.40 : 715,662,918.60 = 386,409,348.40 : x
  2. Step 2: Convert to fraction form
    477,108,612.40/715,662,918.60 = 386,409,348.40/x
  3. Step 3: Cross multiply
    477,108,612.40x = 715,662,918.60 × 386,409,348.40
  4. Step 4: Simplify right side
    477,108,612.40x = 276,538,842,050,268,224
  5. Step 5: Solve for x
    x = 276,538,842,050,268,224/477,108,612.40
  6. Step 6: Final answer
    x = 579,614,022.60

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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.