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Finding the Fourth Proportional to 553,693,442.40, 830,859,028.20 and 208,894,521.60

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Solution

The fourth proportional to 553,693,442.40, 830,859,028.20 and 208,894,521.60 is: 313,462,081.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,693,442.40 : 830,859,028.20 = 208,894,521.60 : x
  2. Step 2: Convert to fraction form
    553,693,442.40/830,859,028.20 = 208,894,521.60/x
  3. Step 3: Cross multiply
    553,693,442.40x = 830,859,028.20 × 208,894,521.60
  4. Step 4: Simplify right side
    553,693,442.40x = 173,561,899,212,879,904
  5. Step 5: Solve for x
    x = 173,561,899,212,879,904/553,693,442.40
  6. Step 6: Final answer
    x = 313,462,081.94

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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.