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Finding the Fourth Proportional to 477,109,230.40, 715,663,845.60 and 386,409,966.40

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Solution

The fourth proportional to 477,109,230.40, 715,663,845.60 and 386,409,966.40 is: 579,614,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,109,230.40 : 715,663,845.60 = 386,409,966.40 : x
  2. Step 2: Convert to fraction form
    477,109,230.40/715,663,845.60 = 386,409,966.40/x
  3. Step 3: Cross multiply
    477,109,230.40x = 715,663,845.60 × 386,409,966.40
  4. Step 4: Simplify right side
    477,109,230.40x = 276,539,642,531,990,784
  5. Step 5: Solve for x
    x = 276,539,642,531,990,784/477,109,230.40
  6. Step 6: Final answer
    x = 579,614,949.60

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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.