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Finding the Fourth Proportional to 289,617,857.30, 434,426,785.95 and 289,617,857.30

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Solution

The fourth proportional to 289,617,857.30, 434,426,785.95 and 289,617,857.30 is: 434,426,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,617,857.30 : 434,426,785.95 = 289,617,857.30 : x
  2. Step 2: Convert to fraction form
    289,617,857.30/434,426,785.95 = 289,617,857.30/x
  3. Step 3: Cross multiply
    289,617,857.30x = 434,426,785.95 × 289,617,857.30
  4. Step 4: Simplify right side
    289,617,857.30x = 125,817,754,900,564,752
  5. Step 5: Solve for x
    x = 125,817,754,900,564,752/289,617,857.30
  6. Step 6: Final answer
    x = 434,426,785.95

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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.