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Finding the Fourth Proportional to 859,758,981.40, 1,289,638,472.10 and 859,758,981.40

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Solution

The fourth proportional to 859,758,981.40, 1,289,638,472.10 and 859,758,981.40 is: 1,289,638,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,758,981.40 : 1,289,638,472.10 = 859,758,981.40 : x
  2. Step 2: Convert to fraction form
    859,758,981.40/1,289,638,472.10 = 859,758,981.40/x
  3. Step 3: Cross multiply
    859,758,981.40x = 1,289,638,472.10 × 859,758,981.40
  4. Step 4: Simplify right side
    859,758,981.40x = 1,108,778,259,146,948,224
  5. Step 5: Solve for x
    x = 1,108,778,259,146,948,224/859,758,981.40
  6. Step 6: Final answer
    x = 1,289,638,472.10

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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.