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Finding the Fourth Proportional to 891,769,549.10, 1,337,654,323.65 and 687,696,205.10

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Solution

The fourth proportional to 891,769,549.10, 1,337,654,323.65 and 687,696,205.10 is: 1,031,544,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,769,549.10 : 1,337,654,323.65 = 687,696,205.10 : x
  2. Step 2: Convert to fraction form
    891,769,549.10/1,337,654,323.65 = 687,696,205.10/x
  3. Step 3: Cross multiply
    891,769,549.10x = 1,337,654,323.65 × 687,696,205.10
  4. Step 4: Simplify right side
    891,769,549.10x = 919,899,802,109,712,256
  5. Step 5: Solve for x
    x = 919,899,802,109,712,256/891,769,549.10
  6. Step 6: Final answer
    x = 1,031,544,307.65

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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.