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Finding the Fourth Proportional to 491,019,807.60, 736,635,999.60 and 146,008,310.40

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Solution

The fourth proportional to 491,019,807.60, 736,635,999.60 and 146,008,310.40 is: 219,044,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,019,807.60 : 736,635,999.60 = 146,008,310.40 : x
  2. Step 2: Convert to fraction form
    491,019,807.60/736,635,999.60 = 146,008,310.40/x
  3. Step 3: Cross multiply
    491,019,807.60x = 736,635,999.60 × 146,008,310.40
  4. Step 4: Simplify right side
    491,019,807.60x = 107,554,977,681,411,088
  5. Step 5: Solve for x
    x = 107,554,977,681,411,088/491,019,807.60
  6. Step 6: Final answer
    x = 219,044,071.17

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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.