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Finding the Fourth Proportional to 457,668,083.60, 686,502,125.40 and 328,001,728.40

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Solution

The fourth proportional to 457,668,083.60, 686,502,125.40 and 328,001,728.40 is: 492,002,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,668,083.60 : 686,502,125.40 = 328,001,728.40 : x
  2. Step 2: Convert to fraction form
    457,668,083.60/686,502,125.40 = 328,001,728.40/x
  3. Step 3: Cross multiply
    457,668,083.60x = 686,502,125.40 × 328,001,728.40
  4. Step 4: Simplify right side
    457,668,083.60x = 225,173,883,681,473,504
  5. Step 5: Solve for x
    x = 225,173,883,681,473,504/457,668,083.60
  6. Step 6: Final answer
    x = 492,002,592.60

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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.