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Finding the Fourth Proportional to 778,572,904.20, 1,167,859,356.30 and 687,873,640.20

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Solution

The fourth proportional to 778,572,904.20, 1,167,859,356.30 and 687,873,640.20 is: 1,031,810,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,572,904.20 : 1,167,859,356.30 = 687,873,640.20 : x
  2. Step 2: Convert to fraction form
    778,572,904.20/1,167,859,356.30 = 687,873,640.20/x
  3. Step 3: Cross multiply
    778,572,904.20x = 1,167,859,356.30 × 687,873,640.20
  4. Step 4: Simplify right side
    778,572,904.20x = 803,339,666,659,709,824
  5. Step 5: Solve for x
    x = 803,339,666,659,709,824/778,572,904.20
  6. Step 6: Final answer
    x = 1,031,810,460.30

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1.5x scale

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.