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Finding the Fourth Proportional to 398,767,368.40, 598,766,911.80 and 217,368,840.40

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Solution

The fourth proportional to 398,767,368.40, 598,766,911.80 and 217,368,840.40 is: 326,388,966.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,767,368.40 : 598,766,911.80 = 217,368,840.40 : x
  2. Step 2: Convert to fraction form
    398,767,368.40/598,766,911.80 = 217,368,840.40/x
  3. Step 3: Cross multiply
    398,767,368.40x = 598,766,911.80 × 217,368,840.40
  4. Step 4: Simplify right side
    398,767,368.40x = 130,153,269,287,855,072
  5. Step 5: Solve for x
    x = 130,153,269,287,855,072/398,767,368.40
  6. Step 6: Final answer
    x = 326,388,966.60

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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.