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Finding the Fourth Proportional to 660,420,784.20, 911,326,509.54 and 388,798,144.68

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Solution

The fourth proportional to 660,420,784.20, 911,326,509.54 and 388,798,144.68 is: 536,509,547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,420,784.20 : 911,326,509.54 = 388,798,144.68 : x
  2. Step 2: Convert to fraction form
    660,420,784.20/911,326,509.54 = 388,798,144.68/x
  3. Step 3: Cross multiply
    660,420,784.20x = 911,326,509.54 × 388,798,144.68
  4. Step 4: Simplify right side
    660,420,784.20x = 354,322,056,106,852,288
  5. Step 5: Solve for x
    x = 354,322,056,106,852,288/660,420,784.20
  6. Step 6: Final answer
    x = 536,509,547.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.