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Finding the Fourth Proportional to 739,798,398.40, 1,020,913,653.58 and 400,698,437.60

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Solution

The fourth proportional to 739,798,398.40, 1,020,913,653.58 and 400,698,437.60 is: 552,959,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,798,398.40 : 1,020,913,653.58 = 400,698,437.60 : x
  2. Step 2: Convert to fraction form
    739,798,398.40/1,020,913,653.58 = 400,698,437.60/x
  3. Step 3: Cross multiply
    739,798,398.40x = 1,020,913,653.58 × 400,698,437.60
  4. Step 4: Simplify right side
    739,798,398.40x = 409,078,505,914,013,696
  5. Step 5: Solve for x
    x = 409,078,505,914,013,696/739,798,398.40
  6. Step 6: Final answer
    x = 552,959,437.06

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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.