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Finding the Fourth Proportional to 898,689,968.10, 1,348,034,952.15 and 438,391,203.30

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Solution

The fourth proportional to 898,689,968.10, 1,348,034,952.15 and 438,391,203.30 is: 657,586,804.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,689,968.10 : 1,348,034,952.15 = 438,391,203.30 : x
  2. Step 2: Convert to fraction form
    898,689,968.10/1,348,034,952.15 = 438,391,203.30/x
  3. Step 3: Cross multiply
    898,689,968.10x = 1,348,034,952.15 × 438,391,203.30
  4. Step 4: Simplify right side
    898,689,968.10x = 590,966,664,763,496,448
  5. Step 5: Solve for x
    x = 590,966,664,763,496,448/898,689,968.10
  6. Step 6: Final answer
    x = 657,586,804.95

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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.