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Finding the Fourth Proportional to 553,680,880.40, 830,521,320.60 and 267,026,416.40

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Solution

The fourth proportional to 553,680,880.40, 830,521,320.60 and 267,026,416.40 is: 400,539,624.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,680,880.40 : 830,521,320.60 = 267,026,416.40 : x
  2. Step 2: Convert to fraction form
    553,680,880.40/830,521,320.60 = 267,026,416.40/x
  3. Step 3: Cross multiply
    553,680,880.40x = 830,521,320.60 × 267,026,416.40
  4. Step 4: Simplify right side
    553,680,880.40x = 221,771,131,983,613,504
  5. Step 5: Solve for x
    x = 221,771,131,983,613,504/553,680,880.40
  6. Step 6: Final answer
    x = 400,539,624.60

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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.