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Finding the Fourth Proportional to 330,560,230.40, 495,840,345.60 and 310,404,838.40

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Solution

The fourth proportional to 330,560,230.40, 495,840,345.60 and 310,404,838.40 is: 465,607,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,560,230.40 : 495,840,345.60 = 310,404,838.40 : x
  2. Step 2: Convert to fraction form
    330,560,230.40/495,840,345.60 = 310,404,838.40/x
  3. Step 3: Cross multiply
    330,560,230.40x = 495,840,345.60 × 310,404,838.40
  4. Step 4: Simplify right side
    330,560,230.40x = 153,911,242,348,168,160
  5. Step 5: Solve for x
    x = 153,911,242,348,168,160/330,560,230.40
  6. Step 6: Final answer
    x = 465,607,257.60

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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.